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Finding the Fourth Proportional to 1,564.98, 2,160.03 and 1,033.96

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Solution

The fourth proportional to 1,564.98, 2,160.03 and 1,033.96 is: 1,427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.98 : 2,160.03 = 1,033.96 : x
  2. Step 2: Convert to fraction form
    1,564.98/2,160.03 = 1,033.96/x
  3. Step 3: Cross multiply
    1,564.98x = 2,160.03 × 1,033.96
  4. Step 4: Simplify right side
    1,564.98x = 2,233,373.82
  5. Step 5: Solve for x
    x = 2,233,373.82/1,564.98
  6. Step 6: Final answer
    x = 1,427.10

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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.