Home / 2,088.64-2,882.42-1,157.16

Finding the Fourth Proportional to 2,088.64, 2,882.42 and 1,157.16

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Solution

The fourth proportional to 2,088.64, 2,882.42 and 1,157.16 is: 1,596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.64 : 2,882.42 = 1,157.16 : x
  2. Step 2: Convert to fraction form
    2,088.64/2,882.42 = 1,157.16/x
  3. Step 3: Cross multiply
    2,088.64x = 2,882.42 × 1,157.16
  4. Step 4: Simplify right side
    2,088.64x = 3,335,421.13
  5. Step 5: Solve for x
    x = 3,335,421.13/2,088.64
  6. Step 6: Final answer
    x = 1,596.93

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1.5x scale

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.