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Finding the Fourth Proportional to 1,477.49, 2,038.03 and 1,162.26

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Solution

The fourth proportional to 1,477.49, 2,038.03 and 1,162.26 is: 1,603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.49 : 2,038.03 = 1,162.26 : x
  2. Step 2: Convert to fraction form
    1,477.49/2,038.03 = 1,162.26/x
  3. Step 3: Cross multiply
    1,477.49x = 2,038.03 × 1,162.26
  4. Step 4: Simplify right side
    1,477.49x = 2,368,717.84
  5. Step 5: Solve for x
    x = 2,368,717.84/1,477.49
  6. Step 6: Final answer
    x = 1,603.21

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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.