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Finding the Fourth Proportional to 1,739.95, 2,402.25 and 1,077.50

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Solution

The fourth proportional to 1,739.95, 2,402.25 and 1,077.50 is: 1,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.95 : 2,402.25 = 1,077.50 : x
  2. Step 2: Convert to fraction form
    1,739.95/2,402.25 = 1,077.50/x
  3. Step 3: Cross multiply
    1,739.95x = 2,402.25 × 1,077.50
  4. Step 4: Simplify right side
    1,739.95x = 2,588,424.38
  5. Step 5: Solve for x
    x = 2,588,424.38/1,739.95
  6. Step 6: Final answer
    x = 1,487.64

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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.