Home / 1,214.94-1,830.89-1,099.48

Finding the Fourth Proportional to 1,214.94, 1,830.89 and 1,099.48

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Solution

The fourth proportional to 1,214.94, 1,830.89 and 1,099.48 is: 1,656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.94 : 1,830.89 = 1,099.48 : x
  2. Step 2: Convert to fraction form
    1,214.94/1,830.89 = 1,099.48/x
  3. Step 3: Cross multiply
    1,214.94x = 1,830.89 × 1,099.48
  4. Step 4: Simplify right side
    1,214.94x = 2,013,026.94
  5. Step 5: Solve for x
    x = 2,013,026.94/1,214.94
  6. Step 6: Final answer
    x = 1,656.89

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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.