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Finding the Fourth Proportional to 1,760.91, 2,429.13 and 1,428.76

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Solution

The fourth proportional to 1,760.91, 2,429.13 and 1,428.76 is: 1,970.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.91 : 2,429.13 = 1,428.76 : x
  2. Step 2: Convert to fraction form
    1,760.91/2,429.13 = 1,428.76/x
  3. Step 3: Cross multiply
    1,760.91x = 2,429.13 × 1,428.76
  4. Step 4: Simplify right side
    1,760.91x = 3,470,624.49
  5. Step 5: Solve for x
    x = 3,470,624.49/1,760.91
  6. Step 6: Final answer
    x = 1,970.93

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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.