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Finding the Fourth Proportional to 1,715.77, 2,574.47 and 838.54

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Solution

The fourth proportional to 1,715.77, 2,574.47 and 838.54 is: 1,258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.77 : 2,574.47 = 838.54 : x
  2. Step 2: Convert to fraction form
    1,715.77/2,574.47 = 838.54/x
  3. Step 3: Cross multiply
    1,715.77x = 2,574.47 × 838.54
  4. Step 4: Simplify right side
    1,715.77x = 2,158,796.07
  5. Step 5: Solve for x
    x = 2,158,796.07/1,715.77
  6. Step 6: Final answer
    x = 1,258.21

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Why These Related Problems?

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