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Finding the Fourth Proportional to 2,410.48, 3,326.50 and 1,415.78

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Solution

The fourth proportional to 2,410.48, 3,326.50 and 1,415.78 is: 1,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.48 : 3,326.50 = 1,415.78 : x
  2. Step 2: Convert to fraction form
    2,410.48/3,326.50 = 1,415.78/x
  3. Step 3: Cross multiply
    2,410.48x = 3,326.50 × 1,415.78
  4. Step 4: Simplify right side
    2,410.48x = 4,709,592.17
  5. Step 5: Solve for x
    x = 4,709,592.17/2,410.48
  6. Step 6: Final answer
    x = 1,953.80

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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.