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Finding the Fourth Proportional to 2,345.76, 3,512.16 and 1,760.40

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Solution

The fourth proportional to 2,345.76, 3,512.16 and 1,760.40 is: 2,635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.76 : 3,512.16 = 1,760.40 : x
  2. Step 2: Convert to fraction form
    2,345.76/3,512.16 = 1,760.40/x
  3. Step 3: Cross multiply
    2,345.76x = 3,512.16 × 1,760.40
  4. Step 4: Simplify right side
    2,345.76x = 6,182,806.46
  5. Step 5: Solve for x
    x = 6,182,806.46/2,345.76
  6. Step 6: Final answer
    x = 2,635.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.