Home / 1,823.23-2,515.80-1,037.14

Finding the Fourth Proportional to 1,823.23, 2,515.80 and 1,037.14

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Solution

The fourth proportional to 1,823.23, 2,515.80 and 1,037.14 is: 1,431.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.23 : 2,515.80 = 1,037.14 : x
  2. Step 2: Convert to fraction form
    1,823.23/2,515.80 = 1,037.14/x
  3. Step 3: Cross multiply
    1,823.23x = 2,515.80 × 1,037.14
  4. Step 4: Simplify right side
    1,823.23x = 2,609,236.81
  5. Step 5: Solve for x
    x = 2,609,236.81/1,823.23
  6. Step 6: Final answer
    x = 1,431.11

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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.