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Finding the Fourth Proportional to 1,772.26, 2,445.44 and 986.32

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Solution

The fourth proportional to 1,772.26, 2,445.44 and 986.32 is: 1,360.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.26 : 2,445.44 = 986.32 : x
  2. Step 2: Convert to fraction form
    1,772.26/2,445.44 = 986.32/x
  3. Step 3: Cross multiply
    1,772.26x = 2,445.44 × 986.32
  4. Step 4: Simplify right side
    1,772.26x = 2,411,986.38
  5. Step 5: Solve for x
    x = 2,411,986.38/1,772.26
  6. Step 6: Final answer
    x = 1,360.97

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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.