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Finding the Fourth Proportional to 1,588.66, 2,382.37 and 847.87

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Solution

The fourth proportional to 1,588.66, 2,382.37 and 847.87 is: 1,271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.66 : 2,382.37 = 847.87 : x
  2. Step 2: Convert to fraction form
    1,588.66/2,382.37 = 847.87/x
  3. Step 3: Cross multiply
    1,588.66x = 2,382.37 × 847.87
  4. Step 4: Simplify right side
    1,588.66x = 2,019,931.98
  5. Step 5: Solve for x
    x = 2,019,931.98/1,588.66
  6. Step 6: Final answer
    x = 1,271.47

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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.