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Finding the Fourth Proportional to 1,626.75, 2,445.53 and 1,506.47

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Solution

The fourth proportional to 1,626.75, 2,445.53 and 1,506.47 is: 2,264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.75 : 2,445.53 = 1,506.47 : x
  2. Step 2: Convert to fraction form
    1,626.75/2,445.53 = 1,506.47/x
  3. Step 3: Cross multiply
    1,626.75x = 2,445.53 × 1,506.47
  4. Step 4: Simplify right side
    1,626.75x = 3,684,097.82
  5. Step 5: Solve for x
    x = 3,684,097.82/1,626.75
  6. Step 6: Final answer
    x = 2,264.70

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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.