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Finding the Fourth Proportional to 3,265.98, 4,899.12 and 926.16

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Solution

The fourth proportional to 3,265.98, 4,899.12 and 926.16 is: 1,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.98 : 4,899.12 = 926.16 : x
  2. Step 2: Convert to fraction form
    3,265.98/4,899.12 = 926.16/x
  3. Step 3: Cross multiply
    3,265.98x = 4,899.12 × 926.16
  4. Step 4: Simplify right side
    3,265.98x = 4,537,368.98
  5. Step 5: Solve for x
    x = 4,537,368.98/3,265.98
  6. Step 6: Final answer
    x = 1,389.28

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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.