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Finding the Fourth Proportional to 1,545.62, 2,313.36 and 1,134.68

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Solution

The fourth proportional to 1,545.62, 2,313.36 and 1,134.68 is: 1,698.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.62 : 2,313.36 = 1,134.68 : x
  2. Step 2: Convert to fraction form
    1,545.62/2,313.36 = 1,134.68/x
  3. Step 3: Cross multiply
    1,545.62x = 2,313.36 × 1,134.68
  4. Step 4: Simplify right side
    1,545.62x = 2,624,911.76
  5. Step 5: Solve for x
    x = 2,624,911.76/1,545.62
  6. Step 6: Final answer
    x = 1,698.30

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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.