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Finding the Fourth Proportional to 1,607.78, 2,218.37 and 1,018.10

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Solution

The fourth proportional to 1,607.78, 2,218.37 and 1,018.10 is: 1,404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.78 : 2,218.37 = 1,018.10 : x
  2. Step 2: Convert to fraction form
    1,607.78/2,218.37 = 1,018.10/x
  3. Step 3: Cross multiply
    1,607.78x = 2,218.37 × 1,018.10
  4. Step 4: Simplify right side
    1,607.78x = 2,258,506.31
  5. Step 5: Solve for x
    x = 2,258,506.31/1,607.78
  6. Step 6: Final answer
    x = 1,404.74

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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.