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Finding the Fourth Proportional to 2,440.32, 3,663.84 and 1,658.16

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Solution

The fourth proportional to 2,440.32, 3,663.84 and 1,658.16 is: 2,489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.32 : 3,663.84 = 1,658.16 : x
  2. Step 2: Convert to fraction form
    2,440.32/3,663.84 = 1,658.16/x
  3. Step 3: Cross multiply
    2,440.32x = 3,663.84 × 1,658.16
  4. Step 4: Simplify right side
    2,440.32x = 6,075,232.93
  5. Step 5: Solve for x
    x = 6,075,232.93/2,440.32
  6. Step 6: Final answer
    x = 2,489.52

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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.