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Finding the Fourth Proportional to 3,404.66, 4,700.23 and 2,646.77

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Solution

The fourth proportional to 3,404.66, 4,700.23 and 2,646.77 is: 3,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.66 : 4,700.23 = 2,646.77 : x
  2. Step 2: Convert to fraction form
    3,404.66/4,700.23 = 2,646.77/x
  3. Step 3: Cross multiply
    3,404.66x = 4,700.23 × 2,646.77
  4. Step 4: Simplify right side
    3,404.66x = 12,440,397.64
  5. Step 5: Solve for x
    x = 12,440,397.64/3,404.66
  6. Step 6: Final answer
    x = 3,653.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.