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Finding the Fourth Proportional to 3,026.80, 4,534.13 and 1,545.96

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Solution

The fourth proportional to 3,026.80, 4,534.13 and 1,545.96 is: 2,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.80 : 4,534.13 = 1,545.96 : x
  2. Step 2: Convert to fraction form
    3,026.80/4,534.13 = 1,545.96/x
  3. Step 3: Cross multiply
    3,026.80x = 4,534.13 × 1,545.96
  4. Step 4: Simplify right side
    3,026.80x = 7,009,575.89
  5. Step 5: Solve for x
    x = 7,009,575.89/3,026.80
  6. Step 6: Final answer
    x = 2,315.84

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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.