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Finding the Fourth Proportional to 2,290.17, 3,434.43 and 990.93

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Solution

The fourth proportional to 2,290.17, 3,434.43 and 990.93 is: 1,486.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.17 : 3,434.43 = 990.93 : x
  2. Step 2: Convert to fraction form
    2,290.17/3,434.43 = 990.93/x
  3. Step 3: Cross multiply
    2,290.17x = 3,434.43 × 990.93
  4. Step 4: Simplify right side
    2,290.17x = 3,403,279.72
  5. Step 5: Solve for x
    x = 3,403,279.72/2,290.17
  6. Step 6: Final answer
    x = 1,486.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.