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Finding the Fourth Proportional to 1,386.62, 1,912.29 and 889.16

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Solution

The fourth proportional to 1,386.62, 1,912.29 and 889.16 is: 1,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.62 : 1,912.29 = 889.16 : x
  2. Step 2: Convert to fraction form
    1,386.62/1,912.29 = 889.16/x
  3. Step 3: Cross multiply
    1,386.62x = 1,912.29 × 889.16
  4. Step 4: Simplify right side
    1,386.62x = 1,700,334.64
  5. Step 5: Solve for x
    x = 1,700,334.64/1,386.62
  6. Step 6: Final answer
    x = 1,226.25

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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.