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Finding the Fourth Proportional to 1,626.47, 2,440.16 and 653.25

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Solution

The fourth proportional to 1,626.47, 2,440.16 and 653.25 is: 980.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.47 : 2,440.16 = 653.25 : x
  2. Step 2: Convert to fraction form
    1,626.47/2,440.16 = 653.25/x
  3. Step 3: Cross multiply
    1,626.47x = 2,440.16 × 653.25
  4. Step 4: Simplify right side
    1,626.47x = 1,594,034.52
  5. Step 5: Solve for x
    x = 1,594,034.52/1,626.47
  6. Step 6: Final answer
    x = 980.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.