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Finding the Fourth Proportional to 1,477.76, 2,216.78 and 382.14

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Solution

The fourth proportional to 1,477.76, 2,216.78 and 382.14 is: 573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.76 : 2,216.78 = 382.14 : x
  2. Step 2: Convert to fraction form
    1,477.76/2,216.78 = 382.14/x
  3. Step 3: Cross multiply
    1,477.76x = 2,216.78 × 382.14
  4. Step 4: Simplify right side
    1,477.76x = 847,118.40
  5. Step 5: Solve for x
    x = 847,118.40/1,477.76
  6. Step 6: Final answer
    x = 573.25

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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.