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Finding the Fourth Proportional to 1,860.66, 2,566.53 and 1,142.53

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Solution

The fourth proportional to 1,860.66, 2,566.53 and 1,142.53 is: 1,575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.66 : 2,566.53 = 1,142.53 : x
  2. Step 2: Convert to fraction form
    1,860.66/2,566.53 = 1,142.53/x
  3. Step 3: Cross multiply
    1,860.66x = 2,566.53 × 1,142.53
  4. Step 4: Simplify right side
    1,860.66x = 2,932,331.10
  5. Step 5: Solve for x
    x = 2,932,331.10/1,860.66
  6. Step 6: Final answer
    x = 1,575.96

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