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Finding the Fourth Proportional to 3,065.90, 4,594.19 and 1,400.13

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Solution

The fourth proportional to 3,065.90, 4,594.19 and 1,400.13 is: 2,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.90 : 4,594.19 = 1,400.13 : x
  2. Step 2: Convert to fraction form
    3,065.90/4,594.19 = 1,400.13/x
  3. Step 3: Cross multiply
    3,065.90x = 4,594.19 × 1,400.13
  4. Step 4: Simplify right side
    3,065.90x = 6,432,456.24
  5. Step 5: Solve for x
    x = 6,432,456.24/3,065.90
  6. Step 6: Final answer
    x = 2,098.07

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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.