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Finding the Fourth Proportional to 1,467.12, 2,024.34 and 877.52

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Solution

The fourth proportional to 1,467.12, 2,024.34 and 877.52 is: 1,210.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.12 : 2,024.34 = 877.52 : x
  2. Step 2: Convert to fraction form
    1,467.12/2,024.34 = 877.52/x
  3. Step 3: Cross multiply
    1,467.12x = 2,024.34 × 877.52
  4. Step 4: Simplify right side
    1,467.12x = 1,776,398.84
  5. Step 5: Solve for x
    x = 1,776,398.84/1,467.12
  6. Step 6: Final answer
    x = 1,210.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.