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Finding the Fourth Proportional to 2,907, 4,011.66 and 1,648.08

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Solution

The fourth proportional to 2,907, 4,011.66 and 1,648.08 is: 2,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907 : 4,011.66 = 1,648.08 : x
  2. Step 2: Convert to fraction form
    2,907/4,011.66 = 1,648.08/x
  3. Step 3: Cross multiply
    2,907x = 4,011.66 × 1,648.08
  4. Step 4: Simplify right side
    2,907x = 6,611,536.61
  5. Step 5: Solve for x
    x = 6,611,536.61/2,907
  6. Step 6: Final answer
    x = 2,274.35

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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.