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Finding the Fourth Proportional to 1,545.12, 2,317.62 and 390.84

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Solution

The fourth proportional to 1,545.12, 2,317.62 and 390.84 is: 586.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.12 : 2,317.62 = 390.84 : x
  2. Step 2: Convert to fraction form
    1,545.12/2,317.62 = 390.84/x
  3. Step 3: Cross multiply
    1,545.12x = 2,317.62 × 390.84
  4. Step 4: Simplify right side
    1,545.12x = 905,818.60
  5. Step 5: Solve for x
    x = 905,818.60/1,545.12
  6. Step 6: Final answer
    x = 586.24

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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.