Home / 1,526.75-2,284.94-942.13

Finding the Fourth Proportional to 1,526.75, 2,284.94 and 942.13

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Solution

The fourth proportional to 1,526.75, 2,284.94 and 942.13 is: 1,409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.75 : 2,284.94 = 942.13 : x
  2. Step 2: Convert to fraction form
    1,526.75/2,284.94 = 942.13/x
  3. Step 3: Cross multiply
    1,526.75x = 2,284.94 × 942.13
  4. Step 4: Simplify right side
    1,526.75x = 2,152,707.17
  5. Step 5: Solve for x
    x = 2,152,707.17/1,526.75
  6. Step 6: Final answer
    x = 1,409.99

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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.