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Finding the Fourth Proportional to 2,901.60, 4,008 and 2,345.76

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Solution

The fourth proportional to 2,901.60, 4,008 and 2,345.76 is: 3,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.60 : 4,008 = 2,345.76 : x
  2. Step 2: Convert to fraction form
    2,901.60/4,008 = 2,345.76/x
  3. Step 3: Cross multiply
    2,901.60x = 4,008 × 2,345.76
  4. Step 4: Simplify right side
    2,901.60x = 9,401,806.08
  5. Step 5: Solve for x
    x = 9,401,806.08/2,901.60
  6. Step 6: Final answer
    x = 3,240.21

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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.