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Finding the Fourth Proportional to 2,897.48, 4,346.76 and 1,729.52

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Solution

The fourth proportional to 2,897.48, 4,346.76 and 1,729.52 is: 2,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.48 : 4,346.76 = 1,729.52 : x
  2. Step 2: Convert to fraction form
    2,897.48/4,346.76 = 1,729.52/x
  3. Step 3: Cross multiply
    2,897.48x = 4,346.76 × 1,729.52
  4. Step 4: Simplify right side
    2,897.48x = 7,517,808.36
  5. Step 5: Solve for x
    x = 7,517,808.36/2,897.48
  6. Step 6: Final answer
    x = 2,594.60

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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.