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Finding the Fourth Proportional to 2,323.13, 3,482.93 and 935.40

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Solution

The fourth proportional to 2,323.13, 3,482.93 and 935.40 is: 1,402.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.13 : 3,482.93 = 935.40 : x
  2. Step 2: Convert to fraction form
    2,323.13/3,482.93 = 935.40/x
  3. Step 3: Cross multiply
    2,323.13x = 3,482.93 × 935.40
  4. Step 4: Simplify right side
    2,323.13x = 3,257,928.05
  5. Step 5: Solve for x
    x = 3,257,928.05/2,323.13
  6. Step 6: Final answer
    x = 1,402.39

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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.