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Finding the Fourth Proportional to 1,606.42, 2,409.79 and 740.98

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Solution

The fourth proportional to 1,606.42, 2,409.79 and 740.98 is: 1,111.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.42 : 2,409.79 = 740.98 : x
  2. Step 2: Convert to fraction form
    1,606.42/2,409.79 = 740.98/x
  3. Step 3: Cross multiply
    1,606.42x = 2,409.79 × 740.98
  4. Step 4: Simplify right side
    1,606.42x = 1,785,606.19
  5. Step 5: Solve for x
    x = 1,785,606.19/1,606.42
  6. Step 6: Final answer
    x = 1,111.54

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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.