Home / 1,465.83-2,202.53-1,102.95

Finding the Fourth Proportional to 1,465.83, 2,202.53 and 1,102.95

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Solution

The fourth proportional to 1,465.83, 2,202.53 and 1,102.95 is: 1,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.83 : 2,202.53 = 1,102.95 : x
  2. Step 2: Convert to fraction form
    1,465.83/2,202.53 = 1,102.95/x
  3. Step 3: Cross multiply
    1,465.83x = 2,202.53 × 1,102.95
  4. Step 4: Simplify right side
    1,465.83x = 2,429,280.46
  5. Step 5: Solve for x
    x = 2,429,280.46/1,465.83
  6. Step 6: Final answer
    x = 1,657.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.