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Finding the Fourth Proportional to 1,547.55, 2,134.67 and 917.66

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Solution

The fourth proportional to 1,547.55, 2,134.67 and 917.66 is: 1,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.55 : 2,134.67 = 917.66 : x
  2. Step 2: Convert to fraction form
    1,547.55/2,134.67 = 917.66/x
  3. Step 3: Cross multiply
    1,547.55x = 2,134.67 × 917.66
  4. Step 4: Simplify right side
    1,547.55x = 1,958,892.89
  5. Step 5: Solve for x
    x = 1,958,892.89/1,547.55
  6. Step 6: Final answer
    x = 1,265.80

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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.