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Finding the Fourth Proportional to 1,587, 2,378.64 and 894

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Solution

The fourth proportional to 1,587, 2,378.64 and 894 is: 1,339.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587 : 2,378.64 = 894 : x
  2. Step 2: Convert to fraction form
    1,587/2,378.64 = 894/x
  3. Step 3: Cross multiply
    1,587x = 2,378.64 × 894
  4. Step 4: Simplify right side
    1,587x = 2,126,504.16
  5. Step 5: Solve for x
    x = 2,126,504.16/1,587
  6. Step 6: Final answer
    x = 1,339.95

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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.