Home / 1,724.02-2,586.02-569.78

Finding the Fourth Proportional to 1,724.02, 2,586.02 and 569.78

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Solution

The fourth proportional to 1,724.02, 2,586.02 and 569.78 is: 854.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.02 : 2,586.02 = 569.78 : x
  2. Step 2: Convert to fraction form
    1,724.02/2,586.02 = 569.78/x
  3. Step 3: Cross multiply
    1,724.02x = 2,586.02 × 569.78
  4. Step 4: Simplify right side
    1,724.02x = 1,473,462.48
  5. Step 5: Solve for x
    x = 1,473,462.48/1,724.02
  6. Step 6: Final answer
    x = 854.67

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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.