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Finding the Fourth Proportional to 1,646.46, 2,455.81 and 1,400.22

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Solution

The fourth proportional to 1,646.46, 2,455.81 and 1,400.22 is: 2,088.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.46 : 2,455.81 = 1,400.22 : x
  2. Step 2: Convert to fraction form
    1,646.46/2,455.81 = 1,400.22/x
  3. Step 3: Cross multiply
    1,646.46x = 2,455.81 × 1,400.22
  4. Step 4: Simplify right side
    1,646.46x = 3,438,674.28
  5. Step 5: Solve for x
    x = 3,438,674.28/1,646.46
  6. Step 6: Final answer
    x = 2,088.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.