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Finding the Fourth Proportional to 3,098.79, 4,275.27 and 1,772.01

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Solution

The fourth proportional to 3,098.79, 4,275.27 and 1,772.01 is: 2,444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.79 : 4,275.27 = 1,772.01 : x
  2. Step 2: Convert to fraction form
    3,098.79/4,275.27 = 1,772.01/x
  3. Step 3: Cross multiply
    3,098.79x = 4,275.27 × 1,772.01
  4. Step 4: Simplify right side
    3,098.79x = 7,575,821.19
  5. Step 5: Solve for x
    x = 7,575,821.19/3,098.79
  6. Step 6: Final answer
    x = 2,444.77

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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.