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Finding the Fourth Proportional to 1,483.76, 2,237 and 1,471.34

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Solution

The fourth proportional to 1,483.76, 2,237 and 1,471.34 is: 2,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.76 : 2,237 = 1,471.34 : x
  2. Step 2: Convert to fraction form
    1,483.76/2,237 = 1,471.34/x
  3. Step 3: Cross multiply
    1,483.76x = 2,237 × 1,471.34
  4. Step 4: Simplify right side
    1,483.76x = 3,291,387.58
  5. Step 5: Solve for x
    x = 3,291,387.58/1,483.76
  6. Step 6: Final answer
    x = 2,218.27

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