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Finding the Fourth Proportional to 1,862.83, 2,570.56 and 1,117

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Solution

The fourth proportional to 1,862.83, 2,570.56 and 1,117 is: 1,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.83 : 2,570.56 = 1,117 : x
  2. Step 2: Convert to fraction form
    1,862.83/2,570.56 = 1,117/x
  3. Step 3: Cross multiply
    1,862.83x = 2,570.56 × 1,117
  4. Step 4: Simplify right side
    1,862.83x = 2,871,315.52
  5. Step 5: Solve for x
    x = 2,871,315.52/1,862.83
  6. Step 6: Final answer
    x = 1,541.37

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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.