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Finding the Fourth Proportional to 1,862.56, 2,570.36 and 1,066.05

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Solution

The fourth proportional to 1,862.56, 2,570.36 and 1,066.05 is: 1,471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.56 : 2,570.36 = 1,066.05 : x
  2. Step 2: Convert to fraction form
    1,862.56/2,570.36 = 1,066.05/x
  3. Step 3: Cross multiply
    1,862.56x = 2,570.36 × 1,066.05
  4. Step 4: Simplify right side
    1,862.56x = 2,740,132.28
  5. Step 5: Solve for x
    x = 2,740,132.28/1,862.56
  6. Step 6: Final answer
    x = 1,471.16

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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.