Home / 1,823.30-2,516-1,026.58

Finding the Fourth Proportional to 1,823.30, 2,516 and 1,026.58

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Solution

The fourth proportional to 1,823.30, 2,516 and 1,026.58 is: 1,416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.30 : 2,516 = 1,026.58 : x
  2. Step 2: Convert to fraction form
    1,823.30/2,516 = 1,026.58/x
  3. Step 3: Cross multiply
    1,823.30x = 2,516 × 1,026.58
  4. Step 4: Simplify right side
    1,823.30x = 2,582,875.28
  5. Step 5: Solve for x
    x = 2,582,875.28/1,823.30
  6. Step 6: Final answer
    x = 1,416.59

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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.