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Finding the Fourth Proportional to 2,509.47, 3,461.31 and 2,037.38

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Solution

The fourth proportional to 2,509.47, 3,461.31 and 2,037.38 is: 2,810.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.47 : 3,461.31 = 2,037.38 : x
  2. Step 2: Convert to fraction form
    2,509.47/3,461.31 = 2,037.38/x
  3. Step 3: Cross multiply
    2,509.47x = 3,461.31 × 2,037.38
  4. Step 4: Simplify right side
    2,509.47x = 7,051,986.46
  5. Step 5: Solve for x
    x = 7,051,986.46/2,509.47
  6. Step 6: Final answer
    x = 2,810.15

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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.