Home / 1,525.17-2,284.12-782.94

Finding the Fourth Proportional to 1,525.17, 2,284.12 and 782.94

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Solution

The fourth proportional to 1,525.17, 2,284.12 and 782.94 is: 1,172.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.17 : 2,284.12 = 782.94 : x
  2. Step 2: Convert to fraction form
    1,525.17/2,284.12 = 782.94/x
  3. Step 3: Cross multiply
    1,525.17x = 2,284.12 × 782.94
  4. Step 4: Simplify right side
    1,525.17x = 1,788,328.91
  5. Step 5: Solve for x
    x = 1,788,328.91/1,525.17
  6. Step 6: Final answer
    x = 1,172.54

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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.