Home / 2,025.64-3,038.73-709.66

Finding the Fourth Proportional to 2,025.64, 3,038.73 and 709.66

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Solution

The fourth proportional to 2,025.64, 3,038.73 and 709.66 is: 1,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.64 : 3,038.73 = 709.66 : x
  2. Step 2: Convert to fraction form
    2,025.64/3,038.73 = 709.66/x
  3. Step 3: Cross multiply
    2,025.64x = 3,038.73 × 709.66
  4. Step 4: Simplify right side
    2,025.64x = 2,156,465.13
  5. Step 5: Solve for x
    x = 2,156,465.13/2,025.64
  6. Step 6: Final answer
    x = 1,064.58

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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.