Home / 1,506.43-2,077.53-946.96

Finding the Fourth Proportional to 1,506.43, 2,077.53 and 946.96

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Solution

The fourth proportional to 1,506.43, 2,077.53 and 946.96 is: 1,305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.43 : 2,077.53 = 946.96 : x
  2. Step 2: Convert to fraction form
    1,506.43/2,077.53 = 946.96/x
  3. Step 3: Cross multiply
    1,506.43x = 2,077.53 × 946.96
  4. Step 4: Simplify right side
    1,506.43x = 1,967,337.81
  5. Step 5: Solve for x
    x = 1,967,337.81/1,506.43
  6. Step 6: Final answer
    x = 1,305.96

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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.