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Finding the Fourth Proportional to 1,467.10, 2,023.50 and 877.24

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Solution

The fourth proportional to 1,467.10, 2,023.50 and 877.24 is: 1,209.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.10 : 2,023.50 = 877.24 : x
  2. Step 2: Convert to fraction form
    1,467.10/2,023.50 = 877.24/x
  3. Step 3: Cross multiply
    1,467.10x = 2,023.50 × 877.24
  4. Step 4: Simplify right side
    1,467.10x = 1,775,095.14
  5. Step 5: Solve for x
    x = 1,775,095.14/1,467.10
  6. Step 6: Final answer
    x = 1,209.93

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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.