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Finding the Fourth Proportional to 2,897.10, 4,347.54 and 1,254.42

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Solution

The fourth proportional to 2,897.10, 4,347.54 and 1,254.42 is: 1,882.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.10 : 4,347.54 = 1,254.42 : x
  2. Step 2: Convert to fraction form
    2,897.10/4,347.54 = 1,254.42/x
  3. Step 3: Cross multiply
    2,897.10x = 4,347.54 × 1,254.42
  4. Step 4: Simplify right side
    2,897.10x = 5,453,641.13
  5. Step 5: Solve for x
    x = 5,453,641.13/2,897.10
  6. Step 6: Final answer
    x = 1,882.45

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