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Finding the Fourth Proportional to 1,404.10, 2,105.13 and 877.19

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Solution

The fourth proportional to 1,404.10, 2,105.13 and 877.19 is: 1,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.10 : 2,105.13 = 877.19 : x
  2. Step 2: Convert to fraction form
    1,404.10/2,105.13 = 877.19/x
  3. Step 3: Cross multiply
    1,404.10x = 2,105.13 × 877.19
  4. Step 4: Simplify right side
    1,404.10x = 1,846,598.98
  5. Step 5: Solve for x
    x = 1,846,598.98/1,404.10
  6. Step 6: Final answer
    x = 1,315.15

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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.