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Finding the Fourth Proportional to 1,595.39, 2,394.18 and 608.09

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Solution

The fourth proportional to 1,595.39, 2,394.18 and 608.09 is: 912.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.39 : 2,394.18 = 608.09 : x
  2. Step 2: Convert to fraction form
    1,595.39/2,394.18 = 608.09/x
  3. Step 3: Cross multiply
    1,595.39x = 2,394.18 × 608.09
  4. Step 4: Simplify right side
    1,595.39x = 1,455,864.95
  5. Step 5: Solve for x
    x = 1,455,864.95/1,595.39
  6. Step 6: Final answer
    x = 912.55

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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.