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Finding the Fourth Proportional to 1,433.02, 1,981.23 and 1,102.54

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Solution

The fourth proportional to 1,433.02, 1,981.23 and 1,102.54 is: 1,524.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.02 : 1,981.23 = 1,102.54 : x
  2. Step 2: Convert to fraction form
    1,433.02/1,981.23 = 1,102.54/x
  3. Step 3: Cross multiply
    1,433.02x = 1,981.23 × 1,102.54
  4. Step 4: Simplify right side
    1,433.02x = 2,184,385.32
  5. Step 5: Solve for x
    x = 2,184,385.32/1,433.02
  6. Step 6: Final answer
    x = 1,524.32

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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.