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Finding the Fourth Proportional to 1,496, 2,064.06 and 1,018.28

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Solution

The fourth proportional to 1,496, 2,064.06 and 1,018.28 is: 1,404.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496 : 2,064.06 = 1,018.28 : x
  2. Step 2: Convert to fraction form
    1,496/2,064.06 = 1,018.28/x
  3. Step 3: Cross multiply
    1,496x = 2,064.06 × 1,018.28
  4. Step 4: Simplify right side
    1,496x = 2,101,791.02
  5. Step 5: Solve for x
    x = 2,101,791.02/1,496
  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.