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Finding the Fourth Proportional to 2,656.72, 3,985.40 and 877.84

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Solution

The fourth proportional to 2,656.72, 3,985.40 and 877.84 is: 1,316.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.72 : 3,985.40 = 877.84 : x
  2. Step 2: Convert to fraction form
    2,656.72/3,985.40 = 877.84/x
  3. Step 3: Cross multiply
    2,656.72x = 3,985.40 × 877.84
  4. Step 4: Simplify right side
    2,656.72x = 3,498,543.54
  5. Step 5: Solve for x
    x = 3,498,543.54/2,656.72
  6. Step 6: Final answer
    x = 1,316.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.