Home / 2,509.12-3,462.96-1,461.16

Finding the Fourth Proportional to 2,509.12, 3,462.96 and 1,461.16

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Solution

The fourth proportional to 2,509.12, 3,462.96 and 1,461.16 is: 2,016.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.12 : 3,462.96 = 1,461.16 : x
  2. Step 2: Convert to fraction form
    2,509.12/3,462.96 = 1,461.16/x
  3. Step 3: Cross multiply
    2,509.12x = 3,462.96 × 1,461.16
  4. Step 4: Simplify right side
    2,509.12x = 5,059,938.63
  5. Step 5: Solve for x
    x = 5,059,938.63/2,509.12
  6. Step 6: Final answer
    x = 2,016.62

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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.