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Finding the Fourth Proportional to 2,289.92, 3,434.64 and 646.76

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Solution

The fourth proportional to 2,289.92, 3,434.64 and 646.76 is: 970.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.92 : 3,434.64 = 646.76 : x
  2. Step 2: Convert to fraction form
    2,289.92/3,434.64 = 646.76/x
  3. Step 3: Cross multiply
    2,289.92x = 3,434.64 × 646.76
  4. Step 4: Simplify right side
    2,289.92x = 2,221,387.77
  5. Step 5: Solve for x
    x = 2,221,387.77/2,289.92
  6. Step 6: Final answer
    x = 970.07

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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.