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Finding the Fourth Proportional to 3,152.70, 4,720.78 and 2,223.22

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Solution

The fourth proportional to 3,152.70, 4,720.78 and 2,223.22 is: 3,329.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.70 : 4,720.78 = 2,223.22 : x
  2. Step 2: Convert to fraction form
    3,152.70/4,720.78 = 2,223.22/x
  3. Step 3: Cross multiply
    3,152.70x = 4,720.78 × 2,223.22
  4. Step 4: Simplify right side
    3,152.70x = 10,495,332.51
  5. Step 5: Solve for x
    x = 10,495,332.51/3,152.70
  6. Step 6: Final answer
    x = 3,329.00

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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.