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Finding the Fourth Proportional to 2,410.68, 3,326.76 and 1,415.76

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Solution

The fourth proportional to 2,410.68, 3,326.76 and 1,415.76 is: 1,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.68 : 3,326.76 = 1,415.76 : x
  2. Step 2: Convert to fraction form
    2,410.68/3,326.76 = 1,415.76/x
  3. Step 3: Cross multiply
    2,410.68x = 3,326.76 × 1,415.76
  4. Step 4: Simplify right side
    2,410.68x = 4,709,893.74
  5. Step 5: Solve for x
    x = 4,709,893.74/2,410.68
  6. Step 6: Final answer
    x = 1,953.76

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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.