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Finding the Fourth Proportional to 1,655.22, 2,284.02 and 992.10

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Solution

The fourth proportional to 1,655.22, 2,284.02 and 992.10 is: 1,368.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.22 : 2,284.02 = 992.10 : x
  2. Step 2: Convert to fraction form
    1,655.22/2,284.02 = 992.10/x
  3. Step 3: Cross multiply
    1,655.22x = 2,284.02 × 992.10
  4. Step 4: Simplify right side
    1,655.22x = 2,265,976.24
  5. Step 5: Solve for x
    x = 2,265,976.24/1,655.22
  6. Step 6: Final answer
    x = 1,368.99

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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.