Home / 2,702.63-4,054.32-947.23

Finding the Fourth Proportional to 2,702.63, 4,054.32 and 947.23

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Solution

The fourth proportional to 2,702.63, 4,054.32 and 947.23 is: 1,420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.63 : 4,054.32 = 947.23 : x
  2. Step 2: Convert to fraction form
    2,702.63/4,054.32 = 947.23/x
  3. Step 3: Cross multiply
    2,702.63x = 4,054.32 × 947.23
  4. Step 4: Simplify right side
    2,702.63x = 3,840,363.40
  5. Step 5: Solve for x
    x = 3,840,363.40/2,702.63
  6. Step 6: Final answer
    x = 1,420.97

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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.