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Finding the Fourth Proportional to 2,290.84, 3,159.75 and 1,407.13

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Solution

The fourth proportional to 2,290.84, 3,159.75 and 1,407.13 is: 1,940.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.84 : 3,159.75 = 1,407.13 : x
  2. Step 2: Convert to fraction form
    2,290.84/3,159.75 = 1,407.13/x
  3. Step 3: Cross multiply
    2,290.84x = 3,159.75 × 1,407.13
  4. Step 4: Simplify right side
    2,290.84x = 4,446,179.02
  5. Step 5: Solve for x
    x = 4,446,179.02/2,290.84
  6. Step 6: Final answer
    x = 1,940.85

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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.