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Finding the Fourth Proportional to 2,918, 4,026.80 and 1,591.76

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Solution

The fourth proportional to 2,918, 4,026.80 and 1,591.76 is: 2,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918 : 4,026.80 = 1,591.76 : x
  2. Step 2: Convert to fraction form
    2,918/4,026.80 = 1,591.76/x
  3. Step 3: Cross multiply
    2,918x = 4,026.80 × 1,591.76
  4. Step 4: Simplify right side
    2,918x = 6,409,699.17
  5. Step 5: Solve for x
    x = 6,409,699.17/2,918
  6. Step 6: Final answer
    x = 2,196.61

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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.