Home / 1,492.20-2,235.24-1,102.98

Finding the Fourth Proportional to 1,492.20, 2,235.24 and 1,102.98

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Solution

The fourth proportional to 1,492.20, 2,235.24 and 1,102.98 is: 1,652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.20 : 2,235.24 = 1,102.98 : x
  2. Step 2: Convert to fraction form
    1,492.20/2,235.24 = 1,102.98/x
  3. Step 3: Cross multiply
    1,492.20x = 2,235.24 × 1,102.98
  4. Step 4: Simplify right side
    1,492.20x = 2,465,425.02
  5. Step 5: Solve for x
    x = 2,465,425.02/1,492.20
  6. Step 6: Final answer
    x = 1,652.21

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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.