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Finding the Fourth Proportional to 3,097.88, 4,275.08 and 1,772.32

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Solution

The fourth proportional to 3,097.88, 4,275.08 and 1,772.32 is: 2,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.88 : 4,275.08 = 1,772.32 : x
  2. Step 2: Convert to fraction form
    3,097.88/4,275.08 = 1,772.32/x
  3. Step 3: Cross multiply
    3,097.88x = 4,275.08 × 1,772.32
  4. Step 4: Simplify right side
    3,097.88x = 7,576,809.79
  5. Step 5: Solve for x
    x = 7,576,809.79/3,097.88
  6. Step 6: Final answer
    x = 2,445.80

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1.5x scale

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.