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Finding the Fourth Proportional to 3,091.39, 4,636.64 and 899.53

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Solution

The fourth proportional to 3,091.39, 4,636.64 and 899.53 is: 1,349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.39 : 4,636.64 = 899.53 : x
  2. Step 2: Convert to fraction form
    3,091.39/4,636.64 = 899.53/x
  3. Step 3: Cross multiply
    3,091.39x = 4,636.64 × 899.53
  4. Step 4: Simplify right side
    3,091.39x = 4,170,792.28
  5. Step 5: Solve for x
    x = 4,170,792.28/3,091.39
  6. Step 6: Final answer
    x = 1,349.16

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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.