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Finding the Fourth Proportional to 2,637.90, 3,643.23 and 2,047.53

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Solution

The fourth proportional to 2,637.90, 3,643.23 and 2,047.53 is: 2,827.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.90 : 3,643.23 = 2,047.53 : x
  2. Step 2: Convert to fraction form
    2,637.90/3,643.23 = 2,047.53/x
  3. Step 3: Cross multiply
    2,637.90x = 3,643.23 × 2,047.53
  4. Step 4: Simplify right side
    2,637.90x = 7,459,622.72
  5. Step 5: Solve for x
    x = 7,459,622.72/2,637.90
  6. Step 6: Final answer
    x = 2,827.86

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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.