Home / 1,524.85-2,285.21-701.30

Finding the Fourth Proportional to 1,524.85, 2,285.21 and 701.30

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Solution

The fourth proportional to 1,524.85, 2,285.21 and 701.30 is: 1,051.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.85 : 2,285.21 = 701.30 : x
  2. Step 2: Convert to fraction form
    1,524.85/2,285.21 = 701.30/x
  3. Step 3: Cross multiply
    1,524.85x = 2,285.21 × 701.30
  4. Step 4: Simplify right side
    1,524.85x = 1,602,614.27
  5. Step 5: Solve for x
    x = 1,602,614.27/1,524.85
  6. Step 6: Final answer
    x = 1,051.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.