Home / 1,942.96-2,913.73-710.00

Finding the Fourth Proportional to 1,942.96, 2,913.73 and 710.00

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Solution

The fourth proportional to 1,942.96, 2,913.73 and 710.00 is: 1,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.96 : 2,913.73 = 710.00 : x
  2. Step 2: Convert to fraction form
    1,942.96/2,913.73 = 710.00/x
  3. Step 3: Cross multiply
    1,942.96x = 2,913.73 × 710.00
  4. Step 4: Simplify right side
    1,942.96x = 2,068,753.81
  5. Step 5: Solve for x
    x = 2,068,753.81/1,942.96
  6. Step 6: Final answer
    x = 1,064.74

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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.