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Finding the Fourth Proportional to 2,452.37, 3,678.53 and 603.50

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Solution

The fourth proportional to 2,452.37, 3,678.53 and 603.50 is: 905.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.37 : 3,678.53 = 603.50 : x
  2. Step 2: Convert to fraction form
    2,452.37/3,678.53 = 603.50/x
  3. Step 3: Cross multiply
    2,452.37x = 3,678.53 × 603.50
  4. Step 4: Simplify right side
    2,452.37x = 2,219,971.44
  5. Step 5: Solve for x
    x = 2,219,971.44/2,452.37
  6. Step 6: Final answer
    x = 905.24

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1.5x scale

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.