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Finding the Fourth Proportional to 1,737.74, 2,618.82 and 1,564.60

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Solution

The fourth proportional to 1,737.74, 2,618.82 and 1,564.60 is: 2,357.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.74 : 2,618.82 = 1,564.60 : x
  2. Step 2: Convert to fraction form
    1,737.74/2,618.82 = 1,564.60/x
  3. Step 3: Cross multiply
    1,737.74x = 2,618.82 × 1,564.60
  4. Step 4: Simplify right side
    1,737.74x = 4,097,405.77
  5. Step 5: Solve for x
    x = 4,097,405.77/1,737.74
  6. Step 6: Final answer
    x = 2,357.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.