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Finding the Fourth Proportional to 1,588.76, 2,382.02 and 895.88

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Solution

The fourth proportional to 1,588.76, 2,382.02 and 895.88 is: 1,343.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.76 : 2,382.02 = 895.88 : x
  2. Step 2: Convert to fraction form
    1,588.76/2,382.02 = 895.88/x
  3. Step 3: Cross multiply
    1,588.76x = 2,382.02 × 895.88
  4. Step 4: Simplify right side
    1,588.76x = 2,134,004.08
  5. Step 5: Solve for x
    x = 2,134,004.08/1,588.76
  6. Step 6: Final answer
    x = 1,343.19

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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.