Home / 1,552.64-2,143.36-1,160.96

Finding the Fourth Proportional to 1,552.64, 2,143.36 and 1,160.96

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Solution

The fourth proportional to 1,552.64, 2,143.36 and 1,160.96 is: 1,602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.64 : 2,143.36 = 1,160.96 : x
  2. Step 2: Convert to fraction form
    1,552.64/2,143.36 = 1,160.96/x
  3. Step 3: Cross multiply
    1,552.64x = 2,143.36 × 1,160.96
  4. Step 4: Simplify right side
    1,552.64x = 2,488,355.23
  5. Step 5: Solve for x
    x = 2,488,355.23/1,552.64
  6. Step 6: Final answer
    x = 1,602.66

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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.