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Finding the Fourth Proportional to 1,638.66, 2,458.98 and 714.06

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Solution

The fourth proportional to 1,638.66, 2,458.98 and 714.06 is: 1,071.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.66 : 2,458.98 = 714.06 : x
  2. Step 2: Convert to fraction form
    1,638.66/2,458.98 = 714.06/x
  3. Step 3: Cross multiply
    1,638.66x = 2,458.98 × 714.06
  4. Step 4: Simplify right side
    1,638.66x = 1,755,859.26
  5. Step 5: Solve for x
    x = 1,755,859.26/1,638.66
  6. Step 6: Final answer
    x = 1,071.52

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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.