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Finding the Fourth Proportional to 2,718.63, 3,750.71 and 1,598.87

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Solution

The fourth proportional to 2,718.63, 3,750.71 and 1,598.87 is: 2,205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.63 : 3,750.71 = 1,598.87 : x
  2. Step 2: Convert to fraction form
    2,718.63/3,750.71 = 1,598.87/x
  3. Step 3: Cross multiply
    2,718.63x = 3,750.71 × 1,598.87
  4. Step 4: Simplify right side
    2,718.63x = 5,996,899.08
  5. Step 5: Solve for x
    x = 5,996,899.08/2,718.63
  6. Step 6: Final answer
    x = 2,205.85

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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.