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Finding the Fourth Proportional to 2,924.08, 4,386.72 and 977.64

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Solution

The fourth proportional to 2,924.08, 4,386.72 and 977.64 is: 1,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.08 : 4,386.72 = 977.64 : x
  2. Step 2: Convert to fraction form
    2,924.08/4,386.72 = 977.64/x
  3. Step 3: Cross multiply
    2,924.08x = 4,386.72 × 977.64
  4. Step 4: Simplify right side
    2,924.08x = 4,288,632.94
  5. Step 5: Solve for x
    x = 4,288,632.94/2,924.08
  6. Step 6: Final answer
    x = 1,466.66

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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.