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Finding the Fourth Proportional to 2,897.47, 4,344.33 and 2,342.93

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Solution

The fourth proportional to 2,897.47, 4,344.33 and 2,342.93 is: 3,512.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.47 : 4,344.33 = 2,342.93 : x
  2. Step 2: Convert to fraction form
    2,897.47/4,344.33 = 2,342.93/x
  3. Step 3: Cross multiply
    2,897.47x = 4,344.33 × 2,342.93
  4. Step 4: Simplify right side
    2,897.47x = 10,178,448.15
  5. Step 5: Solve for x
    x = 10,178,448.15/2,897.47
  6. Step 6: Final answer
    x = 3,512.87

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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.