Home / 2,509.67-3,464.25-1,461.74

Finding the Fourth Proportional to 2,509.67, 3,464.25 and 1,461.74

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Solution

The fourth proportional to 2,509.67, 3,464.25 and 1,461.74 is: 2,017.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.67 : 3,464.25 = 1,461.74 : x
  2. Step 2: Convert to fraction form
    2,509.67/3,464.25 = 1,461.74/x
  3. Step 3: Cross multiply
    2,509.67x = 3,464.25 × 1,461.74
  4. Step 4: Simplify right side
    2,509.67x = 5,063,815.47
  5. Step 5: Solve for x
    x = 5,063,815.47/2,509.67
  6. Step 6: Final answer
    x = 2,017.73

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1.5x scale

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.