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Finding the Fourth Proportional to 2,897.88, 4,347.32 and 1,049.16

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Solution

The fourth proportional to 2,897.88, 4,347.32 and 1,049.16 is: 1,573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.88 : 4,347.32 = 1,049.16 : x
  2. Step 2: Convert to fraction form
    2,897.88/4,347.32 = 1,049.16/x
  3. Step 3: Cross multiply
    2,897.88x = 4,347.32 × 1,049.16
  4. Step 4: Simplify right side
    2,897.88x = 4,561,034.25
  5. Step 5: Solve for x
    x = 4,561,034.25/2,897.88
  6. Step 6: Final answer
    x = 1,573.92

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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.