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Finding the Fourth Proportional to 2,798.93, 3,862.71 and 1,853.07

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Solution

The fourth proportional to 2,798.93, 3,862.71 and 1,853.07 is: 2,557.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.93 : 3,862.71 = 1,853.07 : x
  2. Step 2: Convert to fraction form
    2,798.93/3,862.71 = 1,853.07/x
  3. Step 3: Cross multiply
    2,798.93x = 3,862.71 × 1,853.07
  4. Step 4: Simplify right side
    2,798.93x = 7,157,872.02
  5. Step 5: Solve for x
    x = 7,157,872.02/2,798.93
  6. Step 6: Final answer
    x = 2,557.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.