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Finding the Fourth Proportional to 3,118.99, 4,678.52 and 1,470.85

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Solution

The fourth proportional to 3,118.99, 4,678.52 and 1,470.85 is: 2,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.99 : 4,678.52 = 1,470.85 : x
  2. Step 2: Convert to fraction form
    3,118.99/4,678.52 = 1,470.85/x
  3. Step 3: Cross multiply
    3,118.99x = 4,678.52 × 1,470.85
  4. Step 4: Simplify right side
    3,118.99x = 6,881,393.79
  5. Step 5: Solve for x
    x = 6,881,393.79/3,118.99
  6. Step 6: Final answer
    x = 2,206.29

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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.