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Finding the Fourth Proportional to 1,492.59, 2,061.78 and 1,122.37

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Solution

The fourth proportional to 1,492.59, 2,061.78 and 1,122.37 is: 1,550.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.59 : 2,061.78 = 1,122.37 : x
  2. Step 2: Convert to fraction form
    1,492.59/2,061.78 = 1,122.37/x
  3. Step 3: Cross multiply
    1,492.59x = 2,061.78 × 1,122.37
  4. Step 4: Simplify right side
    1,492.59x = 2,314,080.02
  5. Step 5: Solve for x
    x = 2,314,080.02/1,492.59
  6. Step 6: Final answer
    x = 1,550.38

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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.