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Finding the Fourth Proportional to 1,521.83, 2,100.98 and 991.19

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Solution

The fourth proportional to 1,521.83, 2,100.98 and 991.19 is: 1,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.83 : 2,100.98 = 991.19 : x
  2. Step 2: Convert to fraction form
    1,521.83/2,100.98 = 991.19/x
  3. Step 3: Cross multiply
    1,521.83x = 2,100.98 × 991.19
  4. Step 4: Simplify right side
    1,521.83x = 2,082,454.91
  5. Step 5: Solve for x
    x = 2,082,454.91/1,521.83
  6. Step 6: Final answer
    x = 1,368.39

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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.