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Finding the Fourth Proportional to 2,434.03, 3,648 and 1,045.72

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Solution

The fourth proportional to 2,434.03, 3,648 and 1,045.72 is: 1,567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.03 : 3,648 = 1,045.72 : x
  2. Step 2: Convert to fraction form
    2,434.03/3,648 = 1,045.72/x
  3. Step 3: Cross multiply
    2,434.03x = 3,648 × 1,045.72
  4. Step 4: Simplify right side
    2,434.03x = 3,814,786.56
  5. Step 5: Solve for x
    x = 3,814,786.56/2,434.03
  6. Step 6: Final answer
    x = 1,567.27

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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.