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Finding the Fourth Proportional to 2,985.63, 4,120.23 and 1,726.71

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Solution

The fourth proportional to 2,985.63, 4,120.23 and 1,726.71 is: 2,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.63 : 4,120.23 = 1,726.71 : x
  2. Step 2: Convert to fraction form
    2,985.63/4,120.23 = 1,726.71/x
  3. Step 3: Cross multiply
    2,985.63x = 4,120.23 × 1,726.71
  4. Step 4: Simplify right side
    2,985.63x = 7,114,442.34
  5. Step 5: Solve for x
    x = 7,114,442.34/2,985.63
  6. Step 6: Final answer
    x = 2,382.89

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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.