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Finding the Fourth Proportional to 2,363.64, 3,530.28 and 1,712.40

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Solution

The fourth proportional to 2,363.64, 3,530.28 and 1,712.40 is: 2,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.64 : 3,530.28 = 1,712.40 : x
  2. Step 2: Convert to fraction form
    2,363.64/3,530.28 = 1,712.40/x
  3. Step 3: Cross multiply
    2,363.64x = 3,530.28 × 1,712.40
  4. Step 4: Simplify right side
    2,363.64x = 6,045,251.47
  5. Step 5: Solve for x
    x = 6,045,251.47/2,363.64
  6. Step 6: Final answer
    x = 2,557.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.