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Finding the Fourth Proportional to 2,269.64, 3,403.40 and 953.11

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Solution

The fourth proportional to 2,269.64, 3,403.40 and 953.11 is: 1,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.64 : 3,403.40 = 953.11 : x
  2. Step 2: Convert to fraction form
    2,269.64/3,403.40 = 953.11/x
  3. Step 3: Cross multiply
    2,269.64x = 3,403.40 × 953.11
  4. Step 4: Simplify right side
    2,269.64x = 3,243,827.34
  5. Step 5: Solve for x
    x = 3,243,827.34/2,269.64
  6. Step 6: Final answer
    x = 1,429.22

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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.