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Finding the Fourth Proportional to 2,640.32, 3,643.07 and 1,577.93

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Solution

The fourth proportional to 2,640.32, 3,643.07 and 1,577.93 is: 2,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.32 : 3,643.07 = 1,577.93 : x
  2. Step 2: Convert to fraction form
    2,640.32/3,643.07 = 1,577.93/x
  3. Step 3: Cross multiply
    2,640.32x = 3,643.07 × 1,577.93
  4. Step 4: Simplify right side
    2,640.32x = 5,748,510.66
  5. Step 5: Solve for x
    x = 5,748,510.66/2,640.32
  6. Step 6: Final answer
    x = 2,177.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.