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Finding the Fourth Proportional to 2,394.59, 3,591.88 and 1,570.82

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Solution

The fourth proportional to 2,394.59, 3,591.88 and 1,570.82 is: 2,356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.59 : 3,591.88 = 1,570.82 : x
  2. Step 2: Convert to fraction form
    2,394.59/3,591.88 = 1,570.82/x
  3. Step 3: Cross multiply
    2,394.59x = 3,591.88 × 1,570.82
  4. Step 4: Simplify right side
    2,394.59x = 5,642,175.06
  5. Step 5: Solve for x
    x = 5,642,175.06/2,394.59
  6. Step 6: Final answer
    x = 2,356.22

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Why These Related Problems?

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