Home / 2,102.32-2,901.26-1,158.06

Finding the Fourth Proportional to 2,102.32, 2,901.26 and 1,158.06

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Solution

The fourth proportional to 2,102.32, 2,901.26 and 1,158.06 is: 1,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.32 : 2,901.26 = 1,158.06 : x
  2. Step 2: Convert to fraction form
    2,102.32/2,901.26 = 1,158.06/x
  3. Step 3: Cross multiply
    2,102.32x = 2,901.26 × 1,158.06
  4. Step 4: Simplify right side
    2,102.32x = 3,359,818.65
  5. Step 5: Solve for x
    x = 3,359,818.65/2,102.32
  6. Step 6: Final answer
    x = 1,598.15

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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.