Home / 1,823.14-2,515.84-1,026.47

Finding the Fourth Proportional to 1,823.14, 2,515.84 and 1,026.47

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Solution

The fourth proportional to 1,823.14, 2,515.84 and 1,026.47 is: 1,416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.14 : 2,515.84 = 1,026.47 : x
  2. Step 2: Convert to fraction form
    1,823.14/2,515.84 = 1,026.47/x
  3. Step 3: Cross multiply
    1,823.14x = 2,515.84 × 1,026.47
  4. Step 4: Simplify right side
    1,823.14x = 2,582,421.71
  5. Step 5: Solve for x
    x = 2,582,421.71/1,823.14
  6. Step 6: Final answer
    x = 1,416.47

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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.