Home / 1,492.66-2,234.31-942.94

Finding the Fourth Proportional to 1,492.66, 2,234.31 and 942.94

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Solution

The fourth proportional to 1,492.66, 2,234.31 and 942.94 is: 1,411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.66 : 2,234.31 = 942.94 : x
  2. Step 2: Convert to fraction form
    1,492.66/2,234.31 = 942.94/x
  3. Step 3: Cross multiply
    1,492.66x = 2,234.31 × 942.94
  4. Step 4: Simplify right side
    1,492.66x = 2,106,820.27
  5. Step 5: Solve for x
    x = 2,106,820.27/1,492.66
  6. Step 6: Final answer
    x = 1,411.45

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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.