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Finding the Fourth Proportional to 2,388.48, 3,296.64 and 1,560

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Solution

The fourth proportional to 2,388.48, 3,296.64 and 1,560 is: 2,153.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.48 : 3,296.64 = 1,560 : x
  2. Step 2: Convert to fraction form
    2,388.48/3,296.64 = 1,560/x
  3. Step 3: Cross multiply
    2,388.48x = 3,296.64 × 1,560
  4. Step 4: Simplify right side
    2,388.48x = 5,142,758.40
  5. Step 5: Solve for x
    x = 5,142,758.40/2,388.48
  6. Step 6: Final answer
    x = 2,153.15

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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.