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Finding the Fourth Proportional to 3,460.76, 4,774.34 and 2,341.32

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Solution

The fourth proportional to 3,460.76, 4,774.34 and 2,341.32 is: 3,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.76 : 4,774.34 = 2,341.32 : x
  2. Step 2: Convert to fraction form
    3,460.76/4,774.34 = 2,341.32/x
  3. Step 3: Cross multiply
    3,460.76x = 4,774.34 × 2,341.32
  4. Step 4: Simplify right side
    3,460.76x = 11,178,257.73
  5. Step 5: Solve for x
    x = 11,178,257.73/3,460.76
  6. Step 6: Final answer
    x = 3,230.00

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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.