Home / 2,312.04-3,467.30-1,157

Finding the Fourth Proportional to 2,312.04, 3,467.30 and 1,157

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Solution

The fourth proportional to 2,312.04, 3,467.30 and 1,157 is: 1,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.04 : 3,467.30 = 1,157 : x
  2. Step 2: Convert to fraction form
    2,312.04/3,467.30 = 1,157/x
  3. Step 3: Cross multiply
    2,312.04x = 3,467.30 × 1,157
  4. Step 4: Simplify right side
    2,312.04x = 4,011,666.10
  5. Step 5: Solve for x
    x = 4,011,666.10/2,312.04
  6. Step 6: Final answer
    x = 1,735.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.