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Finding the Fourth Proportional to 2,442.02, 3,663.04 and 1,952.78

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Solution

The fourth proportional to 2,442.02, 3,663.04 and 1,952.78 is: 2,929.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.02 : 3,663.04 = 1,952.78 : x
  2. Step 2: Convert to fraction form
    2,442.02/3,663.04 = 1,952.78/x
  3. Step 3: Cross multiply
    2,442.02x = 3,663.04 × 1,952.78
  4. Step 4: Simplify right side
    2,442.02x = 7,153,111.25
  5. Step 5: Solve for x
    x = 7,153,111.25/2,442.02
  6. Step 6: Final answer
    x = 2,929.18

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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.