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Finding the Fourth Proportional to 1,545.60, 2,309.64 and 1,113.60

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Solution

The fourth proportional to 1,545.60, 2,309.64 and 1,113.60 is: 1,664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.60 : 2,309.64 = 1,113.60 : x
  2. Step 2: Convert to fraction form
    1,545.60/2,309.64 = 1,113.60/x
  3. Step 3: Cross multiply
    1,545.60x = 2,309.64 × 1,113.60
  4. Step 4: Simplify right side
    1,545.60x = 2,572,015.10
  5. Step 5: Solve for x
    x = 2,572,015.10/1,545.60
  6. Step 6: Final answer
    x = 1,664.09

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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.