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Finding the Fourth Proportional to 2,597.54, 3,585.42 and 2,465.30

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Solution

The fourth proportional to 2,597.54, 3,585.42 and 2,465.30 is: 3,402.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.54 : 3,585.42 = 2,465.30 : x
  2. Step 2: Convert to fraction form
    2,597.54/3,585.42 = 2,465.30/x
  3. Step 3: Cross multiply
    2,597.54x = 3,585.42 × 2,465.30
  4. Step 4: Simplify right side
    2,597.54x = 8,839,135.93
  5. Step 5: Solve for x
    x = 8,839,135.93/2,597.54
  6. Step 6: Final answer
    x = 3,402.89

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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.