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Finding the Fourth Proportional to 2,897.30, 4,345.54 and 949.25

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Solution

The fourth proportional to 2,897.30, 4,345.54 and 949.25 is: 1,423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.30 : 4,345.54 = 949.25 : x
  2. Step 2: Convert to fraction form
    2,897.30/4,345.54 = 949.25/x
  3. Step 3: Cross multiply
    2,897.30x = 4,345.54 × 949.25
  4. Step 4: Simplify right side
    2,897.30x = 4,125,003.85
  5. Step 5: Solve for x
    x = 4,125,003.85/2,897.30
  6. Step 6: Final answer
    x = 1,423.74

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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.