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Finding the Fourth Proportional to 1,470.82, 2,191.27 and 1,401.16

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Solution

The fourth proportional to 1,470.82, 2,191.27 and 1,401.16 is: 2,087.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.82 : 2,191.27 = 1,401.16 : x
  2. Step 2: Convert to fraction form
    1,470.82/2,191.27 = 1,401.16/x
  3. Step 3: Cross multiply
    1,470.82x = 2,191.27 × 1,401.16
  4. Step 4: Simplify right side
    1,470.82x = 3,070,319.87
  5. Step 5: Solve for x
    x = 3,070,319.87/1,470.82
  6. Step 6: Final answer
    x = 2,087.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.