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Finding the Fourth Proportional to 2,853.51, 3,938.51 and 1,857.06

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Solution

The fourth proportional to 2,853.51, 3,938.51 and 1,857.06 is: 2,563.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.51 : 3,938.51 = 1,857.06 : x
  2. Step 2: Convert to fraction form
    2,853.51/3,938.51 = 1,857.06/x
  3. Step 3: Cross multiply
    2,853.51x = 3,938.51 × 1,857.06
  4. Step 4: Simplify right side
    2,853.51x = 7,314,043.58
  5. Step 5: Solve for x
    x = 7,314,043.58/2,853.51
  6. Step 6: Final answer
    x = 2,563.17

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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.