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Finding the Fourth Proportional to 1,165.74, 1,734.15 and 1,154.00

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Solution

The fourth proportional to 1,165.74, 1,734.15 and 1,154.00 is: 1,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.74 : 1,734.15 = 1,154.00 : x
  2. Step 2: Convert to fraction form
    1,165.74/1,734.15 = 1,154.00/x
  3. Step 3: Cross multiply
    1,165.74x = 1,734.15 × 1,154.00
  4. Step 4: Simplify right side
    1,165.74x = 2,001,200.43
  5. Step 5: Solve for x
    x = 2,001,200.43/1,165.74
  6. Step 6: Final answer
    x = 1,716.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.