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Finding the Fourth Proportional to 2,637.60, 3,636 and 1,937.76

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Solution

The fourth proportional to 2,637.60, 3,636 and 1,937.76 is: 2,671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.60 : 3,636 = 1,937.76 : x
  2. Step 2: Convert to fraction form
    2,637.60/3,636 = 1,937.76/x
  3. Step 3: Cross multiply
    2,637.60x = 3,636 × 1,937.76
  4. Step 4: Simplify right side
    2,637.60x = 7,045,695.36
  5. Step 5: Solve for x
    x = 7,045,695.36/2,637.60
  6. Step 6: Final answer
    x = 2,671.25

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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.