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Finding the Fourth Proportional to 2,655.84, 3,665.16 and 1,460.92

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Solution

The fourth proportional to 2,655.84, 3,665.16 and 1,460.92 is: 2,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.84 : 3,665.16 = 1,460.92 : x
  2. Step 2: Convert to fraction form
    2,655.84/3,665.16 = 1,460.92/x
  3. Step 3: Cross multiply
    2,655.84x = 3,665.16 × 1,460.92
  4. Step 4: Simplify right side
    2,655.84x = 5,354,498.24
  5. Step 5: Solve for x
    x = 5,354,498.24/2,655.84
  6. Step 6: Final answer
    x = 2,016.12

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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.