Home / 2,098.09-3,159.62-1,827.45

Finding the Fourth Proportional to 2,098.09, 3,159.62 and 1,827.45

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Solution

The fourth proportional to 2,098.09, 3,159.62 and 1,827.45 is: 2,752.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.09 : 3,159.62 = 1,827.45 : x
  2. Step 2: Convert to fraction form
    2,098.09/3,159.62 = 1,827.45/x
  3. Step 3: Cross multiply
    2,098.09x = 3,159.62 × 1,827.45
  4. Step 4: Simplify right side
    2,098.09x = 5,774,039.67
  5. Step 5: Solve for x
    x = 5,774,039.67/2,098.09
  6. Step 6: Final answer
    x = 2,752.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.