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Finding the Fourth Proportional to 2,752.37, 4,127.18 and 997.30

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Solution

The fourth proportional to 2,752.37, 4,127.18 and 997.30 is: 1,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.37 : 4,127.18 = 997.30 : x
  2. Step 2: Convert to fraction form
    2,752.37/4,127.18 = 997.30/x
  3. Step 3: Cross multiply
    2,752.37x = 4,127.18 × 997.30
  4. Step 4: Simplify right side
    2,752.37x = 4,116,036.61
  5. Step 5: Solve for x
    x = 4,116,036.61/2,752.37
  6. Step 6: Final answer
    x = 1,495.45

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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.