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Finding the Fourth Proportional to 3,030.10, 4,545.69 and 838.78

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Solution

The fourth proportional to 3,030.10, 4,545.69 and 838.78 is: 1,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.10 : 4,545.69 = 838.78 : x
  2. Step 2: Convert to fraction form
    3,030.10/4,545.69 = 838.78/x
  3. Step 3: Cross multiply
    3,030.10x = 4,545.69 × 838.78
  4. Step 4: Simplify right side
    3,030.10x = 3,812,833.86
  5. Step 5: Solve for x
    x = 3,812,833.86/3,030.10
  6. Step 6: Final answer
    x = 1,258.32

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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.