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Finding the Fourth Proportional to 1,410.32, 1,945.16 and 1,018.64

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Solution

The fourth proportional to 1,410.32, 1,945.16 and 1,018.64 is: 1,404.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.32 : 1,945.16 = 1,018.64 : x
  2. Step 2: Convert to fraction form
    1,410.32/1,945.16 = 1,018.64/x
  3. Step 3: Cross multiply
    1,410.32x = 1,945.16 × 1,018.64
  4. Step 4: Simplify right side
    1,410.32x = 1,981,417.78
  5. Step 5: Solve for x
    x = 1,981,417.78/1,410.32
  6. Step 6: Final answer
    x = 1,404.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.