Home / 1,657.24-2,283.04-1,158.95

Finding the Fourth Proportional to 1,657.24, 2,283.04 and 1,158.95

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Solution

The fourth proportional to 1,657.24, 2,283.04 and 1,158.95 is: 1,596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.24 : 2,283.04 = 1,158.95 : x
  2. Step 2: Convert to fraction form
    1,657.24/2,283.04 = 1,158.95/x
  3. Step 3: Cross multiply
    1,657.24x = 2,283.04 × 1,158.95
  4. Step 4: Simplify right side
    1,657.24x = 2,645,929.21
  5. Step 5: Solve for x
    x = 2,645,929.21/1,657.24
  6. Step 6: Final answer
    x = 1,596.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.