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Finding the Fourth Proportional to 1,514.62, 2,090.35 and 842.50

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Solution

The fourth proportional to 1,514.62, 2,090.35 and 842.50 is: 1,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.62 : 2,090.35 = 842.50 : x
  2. Step 2: Convert to fraction form
    1,514.62/2,090.35 = 842.50/x
  3. Step 3: Cross multiply
    1,514.62x = 2,090.35 × 842.50
  4. Step 4: Simplify right side
    1,514.62x = 1,761,111.53
  5. Step 5: Solve for x
    x = 1,761,111.53/1,514.62
  6. Step 6: Final answer
    x = 1,162.74

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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.