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Finding the Fourth Proportional to 1,588.86, 2,382.07 and 897.53

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Solution

The fourth proportional to 1,588.86, 2,382.07 and 897.53 is: 1,345.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.86 : 2,382.07 = 897.53 : x
  2. Step 2: Convert to fraction form
    1,588.86/2,382.07 = 897.53/x
  3. Step 3: Cross multiply
    1,588.86x = 2,382.07 × 897.53
  4. Step 4: Simplify right side
    1,588.86x = 2,137,979.29
  5. Step 5: Solve for x
    x = 2,137,979.29/1,588.86
  6. Step 6: Final answer
    x = 1,345.61

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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.