Home / 1,522.98-2,102.49-1,056.42

Finding the Fourth Proportional to 1,522.98, 2,102.49 and 1,056.42

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Solution

The fourth proportional to 1,522.98, 2,102.49 and 1,056.42 is: 1,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.98 : 2,102.49 = 1,056.42 : x
  2. Step 2: Convert to fraction form
    1,522.98/2,102.49 = 1,056.42/x
  3. Step 3: Cross multiply
    1,522.98x = 2,102.49 × 1,056.42
  4. Step 4: Simplify right side
    1,522.98x = 2,221,112.49
  5. Step 5: Solve for x
    x = 2,221,112.49/1,522.98
  6. Step 6: Final answer
    x = 1,458.40

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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.