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Finding the Fourth Proportional to 1,590.46, 2,194.05 and 1,001.14

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Solution

The fourth proportional to 1,590.46, 2,194.05 and 1,001.14 is: 1,381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.46 : 2,194.05 = 1,001.14 : x
  2. Step 2: Convert to fraction form
    1,590.46/2,194.05 = 1,001.14/x
  3. Step 3: Cross multiply
    1,590.46x = 2,194.05 × 1,001.14
  4. Step 4: Simplify right side
    1,590.46x = 2,196,551.22
  5. Step 5: Solve for x
    x = 2,196,551.22/1,590.46
  6. Step 6: Final answer
    x = 1,381.08

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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.