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Finding the Fourth Proportional to 1,470.49, 2,024.18 and 1,271.23

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Solution

The fourth proportional to 1,470.49, 2,024.18 and 1,271.23 is: 1,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.49 : 2,024.18 = 1,271.23 : x
  2. Step 2: Convert to fraction form
    1,470.49/2,024.18 = 1,271.23/x
  3. Step 3: Cross multiply
    1,470.49x = 2,024.18 × 1,271.23
  4. Step 4: Simplify right side
    1,470.49x = 2,573,198.34
  5. Step 5: Solve for x
    x = 2,573,198.34/1,470.49
  6. Step 6: Final answer
    x = 1,749.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.