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Finding the Fourth Proportional to 1,606.84, 2,409.26 and 740.04

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Solution

The fourth proportional to 1,606.84, 2,409.26 and 740.04 is: 1,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.84 : 2,409.26 = 740.04 : x
  2. Step 2: Convert to fraction form
    1,606.84/2,409.26 = 740.04/x
  3. Step 3: Cross multiply
    1,606.84x = 2,409.26 × 740.04
  4. Step 4: Simplify right side
    1,606.84x = 1,782,948.77
  5. Step 5: Solve for x
    x = 1,782,948.77/1,606.84
  6. Step 6: Final answer
    x = 1,109.60

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Why These Related Problems?

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