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Finding the Fourth Proportional to 1,785.98, 2,463.95 and 1,113.39

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Solution

The fourth proportional to 1,785.98, 2,463.95 and 1,113.39 is: 1,536.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.98 : 2,463.95 = 1,113.39 : x
  2. Step 2: Convert to fraction form
    1,785.98/2,463.95 = 1,113.39/x
  3. Step 3: Cross multiply
    1,785.98x = 2,463.95 × 1,113.39
  4. Step 4: Simplify right side
    1,785.98x = 2,743,346.23
  5. Step 5: Solve for x
    x = 2,743,346.23/1,785.98
  6. Step 6: Final answer
    x = 1,536.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.