Home / 2,463.24-3,695.40-1,164

Finding the Fourth Proportional to 2,463.24, 3,695.40 and 1,164

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Solution

The fourth proportional to 2,463.24, 3,695.40 and 1,164 is: 1,746.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.24 : 3,695.40 = 1,164 : x
  2. Step 2: Convert to fraction form
    2,463.24/3,695.40 = 1,164/x
  3. Step 3: Cross multiply
    2,463.24x = 3,695.40 × 1,164
  4. Step 4: Simplify right side
    2,463.24x = 4,301,445.60
  5. Step 5: Solve for x
    x = 4,301,445.60/2,463.24
  6. Step 6: Final answer
    x = 1,746.26

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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.