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Finding the Fourth Proportional to 2,444.40, 3,664.80 and 904.32

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Solution

The fourth proportional to 2,444.40, 3,664.80 and 904.32 is: 1,355.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.40 : 3,664.80 = 904.32 : x
  2. Step 2: Convert to fraction form
    2,444.40/3,664.80 = 904.32/x
  3. Step 3: Cross multiply
    2,444.40x = 3,664.80 × 904.32
  4. Step 4: Simplify right side
    2,444.40x = 3,314,151.94
  5. Step 5: Solve for x
    x = 3,314,151.94/2,444.40
  6. Step 6: Final answer
    x = 1,355.81

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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.