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Finding the Fourth Proportional to 1,781.04, 2,669.68 and 610.68

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Solution

The fourth proportional to 1,781.04, 2,669.68 and 610.68 is: 915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.04 : 2,669.68 = 610.68 : x
  2. Step 2: Convert to fraction form
    1,781.04/2,669.68 = 610.68/x
  3. Step 3: Cross multiply
    1,781.04x = 2,669.68 × 610.68
  4. Step 4: Simplify right side
    1,781.04x = 1,630,320.18
  5. Step 5: Solve for x
    x = 1,630,320.18/1,781.04
  6. Step 6: Final answer
    x = 915.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.