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Finding the Fourth Proportional to 1,534.77, 2,118.07 and 862.62

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Solution

The fourth proportional to 1,534.77, 2,118.07 and 862.62 is: 1,190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.77 : 2,118.07 = 862.62 : x
  2. Step 2: Convert to fraction form
    1,534.77/2,118.07 = 862.62/x
  3. Step 3: Cross multiply
    1,534.77x = 2,118.07 × 862.62
  4. Step 4: Simplify right side
    1,534.77x = 1,827,102.98
  5. Step 5: Solve for x
    x = 1,827,102.98/1,534.77
  6. Step 6: Final answer
    x = 1,190.47

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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.