Home / 1,521.16-2,099.19-923.44

Finding the Fourth Proportional to 1,521.16, 2,099.19 and 923.44

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Solution

The fourth proportional to 1,521.16, 2,099.19 and 923.44 is: 1,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.16 : 2,099.19 = 923.44 : x
  2. Step 2: Convert to fraction form
    1,521.16/2,099.19 = 923.44/x
  3. Step 3: Cross multiply
    1,521.16x = 2,099.19 × 923.44
  4. Step 4: Simplify right side
    1,521.16x = 1,938,476.01
  5. Step 5: Solve for x
    x = 1,938,476.01/1,521.16
  6. Step 6: Final answer
    x = 1,274.34

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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.