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Finding the Fourth Proportional to 2,368.77, 3,264.47 and 1,704.47

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Solution

The fourth proportional to 2,368.77, 3,264.47 and 1,704.47 is: 2,348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.77 : 3,264.47 = 1,704.47 : x
  2. Step 2: Convert to fraction form
    2,368.77/3,264.47 = 1,704.47/x
  3. Step 3: Cross multiply
    2,368.77x = 3,264.47 × 1,704.47
  4. Step 4: Simplify right side
    2,368.77x = 5,564,166.34
  5. Step 5: Solve for x
    x = 5,564,166.34/2,368.77
  6. Step 6: Final answer
    x = 2,348.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.