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Finding the Fourth Proportional to 1,626.10, 2,438.78 and 530.17

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Solution

The fourth proportional to 1,626.10, 2,438.78 and 530.17 is: 795.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.10 : 2,438.78 = 530.17 : x
  2. Step 2: Convert to fraction form
    1,626.10/2,438.78 = 530.17/x
  3. Step 3: Cross multiply
    1,626.10x = 2,438.78 × 530.17
  4. Step 4: Simplify right side
    1,626.10x = 1,292,959.24
  5. Step 5: Solve for x
    x = 1,292,959.24/1,626.10
  6. Step 6: Final answer
    x = 795.13

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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.