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Finding the Fourth Proportional to 2,970.40, 4,455.87 and 1,022.62

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Solution

The fourth proportional to 2,970.40, 4,455.87 and 1,022.62 is: 1,534.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.40 : 4,455.87 = 1,022.62 : x
  2. Step 2: Convert to fraction form
    2,970.40/4,455.87 = 1,022.62/x
  3. Step 3: Cross multiply
    2,970.40x = 4,455.87 × 1,022.62
  4. Step 4: Simplify right side
    2,970.40x = 4,556,661.78
  5. Step 5: Solve for x
    x = 4,556,661.78/2,970.40
  6. Step 6: Final answer
    x = 1,534.02

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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.