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Finding the Fourth Proportional to 2,393.84, 3,303.78 and 1,462.34

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Solution

The fourth proportional to 2,393.84, 3,303.78 and 1,462.34 is: 2,018.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.84 : 3,303.78 = 1,462.34 : x
  2. Step 2: Convert to fraction form
    2,393.84/3,303.78 = 1,462.34/x
  3. Step 3: Cross multiply
    2,393.84x = 3,303.78 × 1,462.34
  4. Step 4: Simplify right side
    2,393.84x = 4,831,249.65
  5. Step 5: Solve for x
    x = 4,831,249.65/2,393.84
  6. Step 6: Final answer
    x = 2,018.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.