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Finding the Fourth Proportional to 3,045.02, 4,567.28 and 965.10

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Solution

The fourth proportional to 3,045.02, 4,567.28 and 965.10 is: 1,447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.02 : 4,567.28 = 965.10 : x
  2. Step 2: Convert to fraction form
    3,045.02/4,567.28 = 965.10/x
  3. Step 3: Cross multiply
    3,045.02x = 4,567.28 × 965.10
  4. Step 4: Simplify right side
    3,045.02x = 4,407,877.10
  5. Step 5: Solve for x
    x = 4,407,877.10/3,045.02
  6. Step 6: Final answer
    x = 1,447.57

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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.