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Finding the Fourth Proportional to 1,596.93, 2,394.41 and 904.07

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Solution

The fourth proportional to 1,596.93, 2,394.41 and 904.07 is: 1,355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.93 : 2,394.41 = 904.07 : x
  2. Step 2: Convert to fraction form
    1,596.93/2,394.41 = 904.07/x
  3. Step 3: Cross multiply
    1,596.93x = 2,394.41 × 904.07
  4. Step 4: Simplify right side
    1,596.93x = 2,164,697.76
  5. Step 5: Solve for x
    x = 2,164,697.76/1,596.93
  6. Step 6: Final answer
    x = 1,355.54

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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.