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Finding the Fourth Proportional to 2,897.42, 4,344.07 and 1,253.07

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Solution

The fourth proportional to 2,897.42, 4,344.07 and 1,253.07 is: 1,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.42 : 4,344.07 = 1,253.07 : x
  2. Step 2: Convert to fraction form
    2,897.42/4,344.07 = 1,253.07/x
  3. Step 3: Cross multiply
    2,897.42x = 4,344.07 × 1,253.07
  4. Step 4: Simplify right side
    2,897.42x = 5,443,423.79
  5. Step 5: Solve for x
    x = 5,443,423.79/2,897.42
  6. Step 6: Final answer
    x = 1,878.71

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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.