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Finding the Fourth Proportional to 2,792.84, 3,854.20 and 1,598.02

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Solution

The fourth proportional to 2,792.84, 3,854.20 and 1,598.02 is: 2,205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.84 : 3,854.20 = 1,598.02 : x
  2. Step 2: Convert to fraction form
    2,792.84/3,854.20 = 1,598.02/x
  3. Step 3: Cross multiply
    2,792.84x = 3,854.20 × 1,598.02
  4. Step 4: Simplify right side
    2,792.84x = 6,159,088.68
  5. Step 5: Solve for x
    x = 6,159,088.68/2,792.84
  6. Step 6: Final answer
    x = 2,205.31

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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.