Home / 2,099.80-2,895.78-1,657

Finding the Fourth Proportional to 2,099.80, 2,895.78 and 1,657

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Solution

The fourth proportional to 2,099.80, 2,895.78 and 1,657 is: 2,285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.80 : 2,895.78 = 1,657 : x
  2. Step 2: Convert to fraction form
    2,099.80/2,895.78 = 1,657/x
  3. Step 3: Cross multiply
    2,099.80x = 2,895.78 × 1,657
  4. Step 4: Simplify right side
    2,099.80x = 4,798,307.46
  5. Step 5: Solve for x
    x = 4,798,307.46/2,099.80
  6. Step 6: Final answer
    x = 2,285.13

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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.