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Finding the Fourth Proportional to 2,901.84, 4,004.58 and 1,575.60

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Solution

The fourth proportional to 2,901.84, 4,004.58 and 1,575.60 is: 2,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.84 : 4,004.58 = 1,575.60 : x
  2. Step 2: Convert to fraction form
    2,901.84/4,004.58 = 1,575.60/x
  3. Step 3: Cross multiply
    2,901.84x = 4,004.58 × 1,575.60
  4. Step 4: Simplify right side
    2,901.84x = 6,309,616.25
  5. Step 5: Solve for x
    x = 6,309,616.25/2,901.84
  6. Step 6: Final answer
    x = 2,174.35

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