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Finding the Fourth Proportional to 2,953.80, 4,430.70 and 2,467.80

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Solution

The fourth proportional to 2,953.80, 4,430.70 and 2,467.80 is: 3,701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.80 : 4,430.70 = 2,467.80 : x
  2. Step 2: Convert to fraction form
    2,953.80/4,430.70 = 2,467.80/x
  3. Step 3: Cross multiply
    2,953.80x = 4,430.70 × 2,467.80
  4. Step 4: Simplify right side
    2,953.80x = 10,934,081.46
  5. Step 5: Solve for x
    x = 10,934,081.46/2,953.80
  6. Step 6: Final answer
    x = 3,701.70

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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.