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Finding the Fourth Proportional to 2,977.57, 4,466.98 and 1,128.64

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Solution

The fourth proportional to 2,977.57, 4,466.98 and 1,128.64 is: 1,693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.57 : 4,466.98 = 1,128.64 : x
  2. Step 2: Convert to fraction form
    2,977.57/4,466.98 = 1,128.64/x
  3. Step 3: Cross multiply
    2,977.57x = 4,466.98 × 1,128.64
  4. Step 4: Simplify right side
    2,977.57x = 5,041,612.31
  5. Step 5: Solve for x
    x = 5,041,612.31/2,977.57
  6. Step 6: Final answer
    x = 1,693.20

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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.