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Finding the Fourth Proportional to 2,689.94, 3,712.01 and 1,494.98

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Solution

The fourth proportional to 2,689.94, 3,712.01 and 1,494.98 is: 2,063.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.94 : 3,712.01 = 1,494.98 : x
  2. Step 2: Convert to fraction form
    2,689.94/3,712.01 = 1,494.98/x
  3. Step 3: Cross multiply
    2,689.94x = 3,712.01 × 1,494.98
  4. Step 4: Simplify right side
    2,689.94x = 5,549,373.23
  5. Step 5: Solve for x
    x = 5,549,373.23/2,689.94
  6. Step 6: Final answer
    x = 2,063.01

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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.