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Finding the Fourth Proportional to 4,102.98, 6,154.58 and 1,470.68

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Solution

The fourth proportional to 4,102.98, 6,154.58 and 1,470.68 is: 2,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.98 : 6,154.58 = 1,470.68 : x
  2. Step 2: Convert to fraction form
    4,102.98/6,154.58 = 1,470.68/x
  3. Step 3: Cross multiply
    4,102.98x = 6,154.58 × 1,470.68
  4. Step 4: Simplify right side
    4,102.98x = 9,051,379.59
  5. Step 5: Solve for x
    x = 9,051,379.59/4,102.98
  6. Step 6: Final answer
    x = 2,206.05

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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.