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Finding the Fourth Proportional to 2,970.66, 4,454.64 and 1,022.34

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Solution

The fourth proportional to 2,970.66, 4,454.64 and 1,022.34 is: 1,533.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.66 : 4,454.64 = 1,022.34 : x
  2. Step 2: Convert to fraction form
    2,970.66/4,454.64 = 1,022.34/x
  3. Step 3: Cross multiply
    2,970.66x = 4,454.64 × 1,022.34
  4. Step 4: Simplify right side
    2,970.66x = 4,554,156.66
  5. Step 5: Solve for x
    x = 4,554,156.66/2,970.66
  6. Step 6: Final answer
    x = 1,533.05

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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.