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Finding the Fourth Proportional to 1,946.18, 2,920.68 and 775.51

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Solution

The fourth proportional to 1,946.18, 2,920.68 and 775.51 is: 1,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.18 : 2,920.68 = 775.51 : x
  2. Step 2: Convert to fraction form
    1,946.18/2,920.68 = 775.51/x
  3. Step 3: Cross multiply
    1,946.18x = 2,920.68 × 775.51
  4. Step 4: Simplify right side
    1,946.18x = 2,264,998.07
  5. Step 5: Solve for x
    x = 2,264,998.07/1,946.18
  6. Step 6: Final answer
    x = 1,163.82

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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.