Home / 1,516.41-2,277.05-942.93

Finding the Fourth Proportional to 1,516.41, 2,277.05 and 942.93

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Solution

The fourth proportional to 1,516.41, 2,277.05 and 942.93 is: 1,415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.41 : 2,277.05 = 942.93 : x
  2. Step 2: Convert to fraction form
    1,516.41/2,277.05 = 942.93/x
  3. Step 3: Cross multiply
    1,516.41x = 2,277.05 × 942.93
  4. Step 4: Simplify right side
    1,516.41x = 2,147,094.04
  5. Step 5: Solve for x
    x = 2,147,094.04/1,516.41
  6. Step 6: Final answer
    x = 1,415.91

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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.