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Finding the Fourth Proportional to 2,771.84, 4,156.08 and 1,038.48

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Solution

The fourth proportional to 2,771.84, 4,156.08 and 1,038.48 is: 1,557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.84 : 4,156.08 = 1,038.48 : x
  2. Step 2: Convert to fraction form
    2,771.84/4,156.08 = 1,038.48/x
  3. Step 3: Cross multiply
    2,771.84x = 4,156.08 × 1,038.48
  4. Step 4: Simplify right side
    2,771.84x = 4,316,005.96
  5. Step 5: Solve for x
    x = 4,316,005.96/2,771.84
  6. Step 6: Final answer
    x = 1,557.09

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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.