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Finding the Fourth Proportional to 1,312.37, 1,808.41 and 1,102.17

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Solution

The fourth proportional to 1,312.37, 1,808.41 and 1,102.17 is: 1,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.37 : 1,808.41 = 1,102.17 : x
  2. Step 2: Convert to fraction form
    1,312.37/1,808.41 = 1,102.17/x
  3. Step 3: Cross multiply
    1,312.37x = 1,808.41 × 1,102.17
  4. Step 4: Simplify right side
    1,312.37x = 1,993,175.25
  5. Step 5: Solve for x
    x = 1,993,175.25/1,312.37
  6. Step 6: Final answer
    x = 1,518.76

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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.