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Finding the Fourth Proportional to 1,467.01, 2,024.17 and 877.42

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Solution

The fourth proportional to 1,467.01, 2,024.17 and 877.42 is: 1,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.01 : 2,024.17 = 877.42 : x
  2. Step 2: Convert to fraction form
    1,467.01/2,024.17 = 877.42/x
  3. Step 3: Cross multiply
    1,467.01x = 2,024.17 × 877.42
  4. Step 4: Simplify right side
    1,467.01x = 1,776,047.24
  5. Step 5: Solve for x
    x = 1,776,047.24/1,467.01
  6. Step 6: Final answer
    x = 1,210.66

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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.