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Finding the Fourth Proportional to 2,735.84, 3,775.84 and 1,557.02

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Solution

The fourth proportional to 2,735.84, 3,775.84 and 1,557.02 is: 2,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.84 : 3,775.84 = 1,557.02 : x
  2. Step 2: Convert to fraction form
    2,735.84/3,775.84 = 1,557.02/x
  3. Step 3: Cross multiply
    2,735.84x = 3,775.84 × 1,557.02
  4. Step 4: Simplify right side
    2,735.84x = 5,879,058.40
  5. Step 5: Solve for x
    x = 5,879,058.40/2,735.84
  6. Step 6: Final answer
    x = 2,148.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.