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Finding the Fourth Proportional to 2,410.76, 3,326.06 and 1,415.68

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Solution

The fourth proportional to 2,410.76, 3,326.06 and 1,415.68 is: 1,953.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.76 : 3,326.06 = 1,415.68 : x
  2. Step 2: Convert to fraction form
    2,410.76/3,326.06 = 1,415.68/x
  3. Step 3: Cross multiply
    2,410.76x = 3,326.06 × 1,415.68
  4. Step 4: Simplify right side
    2,410.76x = 4,708,631.84
  5. Step 5: Solve for x
    x = 4,708,631.84/2,410.76
  6. Step 6: Final answer
    x = 1,953.17

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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.