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Finding the Fourth Proportional to 1,470.96, 2,175.66 and 1,470.96

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Solution

The fourth proportional to 1,470.96, 2,175.66 and 1,470.96 is: 2,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.96 : 2,175.66 = 1,470.96 : x
  2. Step 2: Convert to fraction form
    1,470.96/2,175.66 = 1,470.96/x
  3. Step 3: Cross multiply
    1,470.96x = 2,175.66 × 1,470.96
  4. Step 4: Simplify right side
    1,470.96x = 3,200,308.83
  5. Step 5: Solve for x
    x = 3,200,308.83/1,470.96
  6. Step 6: Final answer
    x = 2,175.66

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.