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Finding the Fourth Proportional to 2,318.54, 3,477.81 and 587.16

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Solution

The fourth proportional to 2,318.54, 3,477.81 and 587.16 is: 880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.54 : 3,477.81 = 587.16 : x
  2. Step 2: Convert to fraction form
    2,318.54/3,477.81 = 587.16/x
  3. Step 3: Cross multiply
    2,318.54x = 3,477.81 × 587.16
  4. Step 4: Simplify right side
    2,318.54x = 2,042,030.92
  5. Step 5: Solve for x
    x = 2,042,030.92/2,318.54
  6. Step 6: Final answer
    x = 880.74

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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.