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Finding the Fourth Proportional to 1,866, 2,575.62 and 1,245

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Solution

The fourth proportional to 1,866, 2,575.62 and 1,245 is: 1,718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866 : 2,575.62 = 1,245 : x
  2. Step 2: Convert to fraction form
    1,866/2,575.62 = 1,245/x
  3. Step 3: Cross multiply
    1,866x = 2,575.62 × 1,245
  4. Step 4: Simplify right side
    1,866x = 3,206,646.90
  5. Step 5: Solve for x
    x = 3,206,646.90/1,866
  6. Step 6: Final answer
    x = 1,718.46

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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.