Home / 1,688.12-2,329.57-942.07

Finding the Fourth Proportional to 1,688.12, 2,329.57 and 942.07

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Solution

The fourth proportional to 1,688.12, 2,329.57 and 942.07 is: 1,300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.12 : 2,329.57 = 942.07 : x
  2. Step 2: Convert to fraction form
    1,688.12/2,329.57 = 942.07/x
  3. Step 3: Cross multiply
    1,688.12x = 2,329.57 × 942.07
  4. Step 4: Simplify right side
    1,688.12x = 2,194,618.01
  5. Step 5: Solve for x
    x = 2,194,618.01/1,688.12
  6. Step 6: Final answer
    x = 1,300.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.