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Finding the Fourth Proportional to 1,600.77, 2,210.07 and 1,097.47

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Solution

The fourth proportional to 1,600.77, 2,210.07 and 1,097.47 is: 1,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.77 : 2,210.07 = 1,097.47 : x
  2. Step 2: Convert to fraction form
    1,600.77/2,210.07 = 1,097.47/x
  3. Step 3: Cross multiply
    1,600.77x = 2,210.07 × 1,097.47
  4. Step 4: Simplify right side
    1,600.77x = 2,425,485.52
  5. Step 5: Solve for x
    x = 2,425,485.52/1,600.77
  6. Step 6: Final answer
    x = 1,515.20

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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.