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Finding the Fourth Proportional to 1,604.84, 2,392.28 and 1,587.56

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Solution

The fourth proportional to 1,604.84, 2,392.28 and 1,587.56 is: 2,366.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.84 : 2,392.28 = 1,587.56 : x
  2. Step 2: Convert to fraction form
    1,604.84/2,392.28 = 1,587.56/x
  3. Step 3: Cross multiply
    1,604.84x = 2,392.28 × 1,587.56
  4. Step 4: Simplify right side
    1,604.84x = 3,797,888.04
  5. Step 5: Solve for x
    x = 3,797,888.04/1,604.84
  6. Step 6: Final answer
    x = 2,366.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.