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Finding the Fourth Proportional to 1,763.95, 2,658.32 and 1,588.47

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Solution

The fourth proportional to 1,763.95, 2,658.32 and 1,588.47 is: 2,393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.95 : 2,658.32 = 1,588.47 : x
  2. Step 2: Convert to fraction form
    1,763.95/2,658.32 = 1,588.47/x
  3. Step 3: Cross multiply
    1,763.95x = 2,658.32 × 1,588.47
  4. Step 4: Simplify right side
    1,763.95x = 4,222,661.57
  5. Step 5: Solve for x
    x = 4,222,661.57/1,763.95
  6. Step 6: Final answer
    x = 2,393.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.