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Finding the Fourth Proportional to 2,807.76, 3,875.92 and 1,760.42

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Solution

The fourth proportional to 2,807.76, 3,875.92 and 1,760.42 is: 2,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.76 : 3,875.92 = 1,760.42 : x
  2. Step 2: Convert to fraction form
    2,807.76/3,875.92 = 1,760.42/x
  3. Step 3: Cross multiply
    2,807.76x = 3,875.92 × 1,760.42
  4. Step 4: Simplify right side
    2,807.76x = 6,823,247.09
  5. Step 5: Solve for x
    x = 6,823,247.09/2,807.76
  6. Step 6: Final answer
    x = 2,430.14

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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.