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Finding the Fourth Proportional to 2,478.47, 3,715.93 and 1,161.51

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Solution

The fourth proportional to 2,478.47, 3,715.93 and 1,161.51 is: 1,741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.47 : 3,715.93 = 1,161.51 : x
  2. Step 2: Convert to fraction form
    2,478.47/3,715.93 = 1,161.51/x
  3. Step 3: Cross multiply
    2,478.47x = 3,715.93 × 1,161.51
  4. Step 4: Simplify right side
    2,478.47x = 4,316,077.37
  5. Step 5: Solve for x
    x = 4,316,077.37/2,478.47
  6. Step 6: Final answer
    x = 1,741.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.