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Finding the Fourth Proportional to 2,509.64, 3,463.64 and 1,461.52

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Solution

The fourth proportional to 2,509.64, 3,463.64 and 1,461.52 is: 2,017.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.64 : 3,463.64 = 1,461.52 : x
  2. Step 2: Convert to fraction form
    2,509.64/3,463.64 = 1,461.52/x
  3. Step 3: Cross multiply
    2,509.64x = 3,463.64 × 1,461.52
  4. Step 4: Simplify right side
    2,509.64x = 5,062,179.13
  5. Step 5: Solve for x
    x = 5,062,179.13/2,509.64
  6. Step 6: Final answer
    x = 2,017.09

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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.