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Finding the Fourth Proportional to 1,689.09, 2,534.10 and 959.19

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Solution

The fourth proportional to 1,689.09, 2,534.10 and 959.19 is: 1,439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.09 : 2,534.10 = 959.19 : x
  2. Step 2: Convert to fraction form
    1,689.09/2,534.10 = 959.19/x
  3. Step 3: Cross multiply
    1,689.09x = 2,534.10 × 959.19
  4. Step 4: Simplify right side
    1,689.09x = 2,430,683.38
  5. Step 5: Solve for x
    x = 2,430,683.38/1,689.09
  6. Step 6: Final answer
    x = 1,439.05

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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.