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Finding the Fourth Proportional to 3,018.84, 4,530.42 and 1,071

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Solution

The fourth proportional to 3,018.84, 4,530.42 and 1,071 is: 1,607.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018.84 : 4,530.42 = 1,071 : x
  2. Step 2: Convert to fraction form
    3,018.84/4,530.42 = 1,071/x
  3. Step 3: Cross multiply
    3,018.84x = 4,530.42 × 1,071
  4. Step 4: Simplify right side
    3,018.84x = 4,852,079.82
  5. Step 5: Solve for x
    x = 4,852,079.82/3,018.84
  6. Step 6: Final answer
    x = 1,607.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.