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Finding the Fourth Proportional to 2,897.70, 4,347.30 and 1,253.86

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Solution

The fourth proportional to 2,897.70, 4,347.30 and 1,253.86 is: 1,881.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.70 : 4,347.30 = 1,253.86 : x
  2. Step 2: Convert to fraction form
    2,897.70/4,347.30 = 1,253.86/x
  3. Step 3: Cross multiply
    2,897.70x = 4,347.30 × 1,253.86
  4. Step 4: Simplify right side
    2,897.70x = 5,450,899.41
  5. Step 5: Solve for x
    x = 5,450,899.41/2,897.70
  6. Step 6: Final answer
    x = 1,881.11

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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.