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Finding the Fourth Proportional to 3,460.64, 4,775.76 and 1,888.73

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Solution

The fourth proportional to 3,460.64, 4,775.76 and 1,888.73 is: 2,606.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.64 : 4,775.76 = 1,888.73 : x
  2. Step 2: Convert to fraction form
    3,460.64/4,775.76 = 1,888.73/x
  3. Step 3: Cross multiply
    3,460.64x = 4,775.76 × 1,888.73
  4. Step 4: Simplify right side
    3,460.64x = 9,020,142.08
  5. Step 5: Solve for x
    x = 9,020,142.08/3,460.64
  6. Step 6: Final answer
    x = 2,606.49

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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.