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Finding the Fourth Proportional to 1,611.64, 2,417.46 and 999.28

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Solution

The fourth proportional to 1,611.64, 2,417.46 and 999.28 is: 1,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.64 : 2,417.46 = 999.28 : x
  2. Step 2: Convert to fraction form
    1,611.64/2,417.46 = 999.28/x
  3. Step 3: Cross multiply
    1,611.64x = 2,417.46 × 999.28
  4. Step 4: Simplify right side
    1,611.64x = 2,415,719.43
  5. Step 5: Solve for x
    x = 2,415,719.43/1,611.64
  6. Step 6: Final answer
    x = 1,498.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.