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Finding the Fourth Proportional to 2,363.34, 3,545.78 and 1,130.59

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Solution

The fourth proportional to 2,363.34, 3,545.78 and 1,130.59 is: 1,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.34 : 3,545.78 = 1,130.59 : x
  2. Step 2: Convert to fraction form
    2,363.34/3,545.78 = 1,130.59/x
  3. Step 3: Cross multiply
    2,363.34x = 3,545.78 × 1,130.59
  4. Step 4: Simplify right side
    2,363.34x = 4,008,823.41
  5. Step 5: Solve for x
    x = 4,008,823.41/2,363.34
  6. Step 6: Final answer
    x = 1,696.25

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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.