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Finding the Fourth Proportional to 1,535.94, 2,302.62 and 612.15

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Solution

The fourth proportional to 1,535.94, 2,302.62 and 612.15 is: 917.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.94 : 2,302.62 = 612.15 : x
  2. Step 2: Convert to fraction form
    1,535.94/2,302.62 = 612.15/x
  3. Step 3: Cross multiply
    1,535.94x = 2,302.62 × 612.15
  4. Step 4: Simplify right side
    1,535.94x = 1,409,548.83
  5. Step 5: Solve for x
    x = 1,409,548.83/1,535.94
  6. Step 6: Final answer
    x = 917.71

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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.