Home / 1,688.14-2,329.64-942.11

Finding the Fourth Proportional to 1,688.14, 2,329.64 and 942.11

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Solution

The fourth proportional to 1,688.14, 2,329.64 and 942.11 is: 1,300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.14 : 2,329.64 = 942.11 : x
  2. Step 2: Convert to fraction form
    1,688.14/2,329.64 = 942.11/x
  3. Step 3: Cross multiply
    1,688.14x = 2,329.64 × 942.11
  4. Step 4: Simplify right side
    1,688.14x = 2,194,777.14
  5. Step 5: Solve for x
    x = 2,194,777.14/1,688.14
  6. Step 6: Final answer
    x = 1,300.12

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Why These Related Problems?

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