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Finding the Fourth Proportional to 2,784.38, 4,176.77 and 1,053

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Solution

The fourth proportional to 2,784.38, 4,176.77 and 1,053 is: 1,579.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.38 : 4,176.77 = 1,053 : x
  2. Step 2: Convert to fraction form
    2,784.38/4,176.77 = 1,053/x
  3. Step 3: Cross multiply
    2,784.38x = 4,176.77 × 1,053
  4. Step 4: Simplify right side
    2,784.38x = 4,398,133.55
  5. Step 5: Solve for x
    x = 4,398,133.55/2,784.38
  6. Step 6: Final answer
    x = 1,579.58

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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.