Home / 1,409.42-2,113.07-1,101.93

Finding the Fourth Proportional to 1,409.42, 2,113.07 and 1,101.93

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Solution

The fourth proportional to 1,409.42, 2,113.07 and 1,101.93 is: 1,652.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.42 : 2,113.07 = 1,101.93 : x
  2. Step 2: Convert to fraction form
    1,409.42/2,113.07 = 1,101.93/x
  3. Step 3: Cross multiply
    1,409.42x = 2,113.07 × 1,101.93
  4. Step 4: Simplify right side
    1,409.42x = 2,328,455.23
  5. Step 5: Solve for x
    x = 2,328,455.23/1,409.42
  6. Step 6: Final answer
    x = 1,652.07

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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.