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Finding the Fourth Proportional to 1,648.42, 2,462.10 and 1,492.00

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Solution

The fourth proportional to 1,648.42, 2,462.10 and 1,492.00 is: 2,228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.42 : 2,462.10 = 1,492.00 : x
  2. Step 2: Convert to fraction form
    1,648.42/2,462.10 = 1,492.00/x
  3. Step 3: Cross multiply
    1,648.42x = 2,462.10 × 1,492.00
  4. Step 4: Simplify right side
    1,648.42x = 3,673,441.45
  5. Step 5: Solve for x
    x = 3,673,441.45/1,648.42
  6. Step 6: Final answer
    x = 2,228.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.