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Finding the Fourth Proportional to 2,011.96, 3,017.64 and 971.92

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Solution

The fourth proportional to 2,011.96, 3,017.64 and 971.92 is: 1,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.96 : 3,017.64 = 971.92 : x
  2. Step 2: Convert to fraction form
    2,011.96/3,017.64 = 971.92/x
  3. Step 3: Cross multiply
    2,011.96x = 3,017.64 × 971.92
  4. Step 4: Simplify right side
    2,011.96x = 2,932,904.67
  5. Step 5: Solve for x
    x = 2,932,904.67/2,011.96
  6. Step 6: Final answer
    x = 1,457.74

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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.