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Finding the Fourth Proportional to 1,665.33, 2,281.48 and 1,603.01

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Solution

The fourth proportional to 1,665.33, 2,281.48 and 1,603.01 is: 2,196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.33 : 2,281.48 = 1,603.01 : x
  2. Step 2: Convert to fraction form
    1,665.33/2,281.48 = 1,603.01/x
  3. Step 3: Cross multiply
    1,665.33x = 2,281.48 × 1,603.01
  4. Step 4: Simplify right side
    1,665.33x = 3,657,235.25
  5. Step 5: Solve for x
    x = 3,657,235.25/1,665.33
  6. Step 6: Final answer
    x = 2,196.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.