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Finding the Fourth Proportional to 2,637.60, 3,642.12 and 1,973.28

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Solution

The fourth proportional to 2,637.60, 3,642.12 and 1,973.28 is: 2,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.60 : 3,642.12 = 1,973.28 : x
  2. Step 2: Convert to fraction form
    2,637.60/3,642.12 = 1,973.28/x
  3. Step 3: Cross multiply
    2,637.60x = 3,642.12 × 1,973.28
  4. Step 4: Simplify right side
    2,637.60x = 7,186,922.55
  5. Step 5: Solve for x
    x = 7,186,922.55/2,637.60
  6. Step 6: Final answer
    x = 2,724.80

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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.