Home / 2,088.52-2,882.12-1,157

Finding the Fourth Proportional to 2,088.52, 2,882.12 and 1,157

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Solution

The fourth proportional to 2,088.52, 2,882.12 and 1,157 is: 1,596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.52 : 2,882.12 = 1,157 : x
  2. Step 2: Convert to fraction form
    2,088.52/2,882.12 = 1,157/x
  3. Step 3: Cross multiply
    2,088.52x = 2,882.12 × 1,157
  4. Step 4: Simplify right side
    2,088.52x = 3,334,612.84
  5. Step 5: Solve for x
    x = 3,334,612.84/2,088.52
  6. Step 6: Final answer
    x = 1,596.64

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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.