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Finding the Fourth Proportional to 2,254.87, 3,111.31 and 1,509.91

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Solution

The fourth proportional to 2,254.87, 3,111.31 and 1,509.91 is: 2,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.87 : 3,111.31 = 1,509.91 : x
  2. Step 2: Convert to fraction form
    2,254.87/3,111.31 = 1,509.91/x
  3. Step 3: Cross multiply
    2,254.87x = 3,111.31 × 1,509.91
  4. Step 4: Simplify right side
    2,254.87x = 4,697,798.08
  5. Step 5: Solve for x
    x = 4,697,798.08/2,254.87
  6. Step 6: Final answer
    x = 2,083.40

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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.