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Finding the Fourth Proportional to 2,415.47, 3,329.82 and 1,715.63

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Solution

The fourth proportional to 2,415.47, 3,329.82 and 1,715.63 is: 2,365.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.47 : 3,329.82 = 1,715.63 : x
  2. Step 2: Convert to fraction form
    2,415.47/3,329.82 = 1,715.63/x
  3. Step 3: Cross multiply
    2,415.47x = 3,329.82 × 1,715.63
  4. Step 4: Simplify right side
    2,415.47x = 5,712,722.44
  5. Step 5: Solve for x
    x = 5,712,722.44/2,415.47
  6. Step 6: Final answer
    x = 2,365.06

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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.