Home / 2,312.12-3,189.18-1,564.76

Finding the Fourth Proportional to 2,312.12, 3,189.18 and 1,564.76

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Solution

The fourth proportional to 2,312.12, 3,189.18 and 1,564.76 is: 2,158.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.12 : 3,189.18 = 1,564.76 : x
  2. Step 2: Convert to fraction form
    2,312.12/3,189.18 = 1,564.76/x
  3. Step 3: Cross multiply
    2,312.12x = 3,189.18 × 1,564.76
  4. Step 4: Simplify right side
    2,312.12x = 4,990,301.30
  5. Step 5: Solve for x
    x = 4,990,301.30/2,312.12
  6. Step 6: Final answer
    x = 2,158.32

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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.