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Finding the Fourth Proportional to 1,840.76, 2,762.14 and 1,430.72

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Solution

The fourth proportional to 1,840.76, 2,762.14 and 1,430.72 is: 2,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.76 : 2,762.14 = 1,430.72 : x
  2. Step 2: Convert to fraction form
    1,840.76/2,762.14 = 1,430.72/x
  3. Step 3: Cross multiply
    1,840.76x = 2,762.14 × 1,430.72
  4. Step 4: Simplify right side
    1,840.76x = 3,951,848.94
  5. Step 5: Solve for x
    x = 3,951,848.94/1,840.76
  6. Step 6: Final answer
    x = 2,146.86

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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.