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Finding the Fourth Proportional to 3,178.77, 4,386.47 and 1,781.25

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Solution

The fourth proportional to 3,178.77, 4,386.47 and 1,781.25 is: 2,457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.77 : 4,386.47 = 1,781.25 : x
  2. Step 2: Convert to fraction form
    3,178.77/4,386.47 = 1,781.25/x
  3. Step 3: Cross multiply
    3,178.77x = 4,386.47 × 1,781.25
  4. Step 4: Simplify right side
    3,178.77x = 7,813,390.78
  5. Step 5: Solve for x
    x = 7,813,390.78/3,178.77
  6. Step 6: Final answer
    x = 2,457.99

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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.