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Finding the Fourth Proportional to 1,409.54, 2,110.46 and 1,019.93

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Solution

The fourth proportional to 1,409.54, 2,110.46 and 1,019.93 is: 1,527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.54 : 2,110.46 = 1,019.93 : x
  2. Step 2: Convert to fraction form
    1,409.54/2,110.46 = 1,019.93/x
  3. Step 3: Cross multiply
    1,409.54x = 2,110.46 × 1,019.93
  4. Step 4: Simplify right side
    1,409.54x = 2,152,505.82
  5. Step 5: Solve for x
    x = 2,152,505.82/1,409.54
  6. Step 6: Final answer
    x = 1,527.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.