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Finding the Fourth Proportional to 1,946.18, 2,918.07 and 775.22

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Solution

The fourth proportional to 1,946.18, 2,918.07 and 775.22 is: 1,162.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.18 : 2,918.07 = 775.22 : x
  2. Step 2: Convert to fraction form
    1,946.18/2,918.07 = 775.22/x
  3. Step 3: Cross multiply
    1,946.18x = 2,918.07 × 775.22
  4. Step 4: Simplify right side
    1,946.18x = 2,262,131.64
  5. Step 5: Solve for x
    x = 2,262,131.64/1,946.18
  6. Step 6: Final answer
    x = 1,162.35

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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.