Home / 2,509.16-3,765.76-1,414.58

Finding the Fourth Proportional to 2,509.16, 3,765.76 and 1,414.58

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Solution

The fourth proportional to 2,509.16, 3,765.76 and 1,414.58 is: 2,123.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.16 : 3,765.76 = 1,414.58 : x
  2. Step 2: Convert to fraction form
    2,509.16/3,765.76 = 1,414.58/x
  3. Step 3: Cross multiply
    2,509.16x = 3,765.76 × 1,414.58
  4. Step 4: Simplify right side
    2,509.16x = 5,326,946.42
  5. Step 5: Solve for x
    x = 5,326,946.42/2,509.16
  6. Step 6: Final answer
    x = 2,123.00

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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.