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Finding the Fourth Proportional to 2,597.68, 3,585.12 and 1,760.24

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Solution

The fourth proportional to 2,597.68, 3,585.12 and 1,760.24 is: 2,429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.68 : 3,585.12 = 1,760.24 : x
  2. Step 2: Convert to fraction form
    2,597.68/3,585.12 = 1,760.24/x
  3. Step 3: Cross multiply
    2,597.68x = 3,585.12 × 1,760.24
  4. Step 4: Simplify right side
    2,597.68x = 6,310,673.99
  5. Step 5: Solve for x
    x = 6,310,673.99/2,597.68
  6. Step 6: Final answer
    x = 2,429.35

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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.