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Finding the Fourth Proportional to 2,434.76, 3,649.46 and 1,554.49

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Solution

The fourth proportional to 2,434.76, 3,649.46 and 1,554.49 is: 2,330.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.76 : 3,649.46 = 1,554.49 : x
  2. Step 2: Convert to fraction form
    2,434.76/3,649.46 = 1,554.49/x
  3. Step 3: Cross multiply
    2,434.76x = 3,649.46 × 1,554.49
  4. Step 4: Simplify right side
    2,434.76x = 5,673,045.86
  5. Step 5: Solve for x
    x = 5,673,045.86/2,434.76
  6. Step 6: Final answer
    x = 2,330.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.