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Finding the Fourth Proportional to 1,777.17, 2,666.30 and 1,045.20

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Solution

The fourth proportional to 1,777.17, 2,666.30 and 1,045.20 is: 1,568.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.17 : 2,666.30 = 1,045.20 : x
  2. Step 2: Convert to fraction form
    1,777.17/2,666.30 = 1,045.20/x
  3. Step 3: Cross multiply
    1,777.17x = 2,666.30 × 1,045.20
  4. Step 4: Simplify right side
    1,777.17x = 2,786,811.53
  5. Step 5: Solve for x
    x = 2,786,811.53/1,777.17
  6. Step 6: Final answer
    x = 1,568.12

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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.