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Finding the Fourth Proportional to 4,027.64, 6,041.64 and 1,430.96

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Solution

The fourth proportional to 4,027.64, 6,041.64 and 1,430.96 is: 2,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,027.64 : 6,041.64 = 1,430.96 : x
  2. Step 2: Convert to fraction form
    4,027.64/6,041.64 = 1,430.96/x
  3. Step 3: Cross multiply
    4,027.64x = 6,041.64 × 1,430.96
  4. Step 4: Simplify right side
    4,027.64x = 8,645,345.17
  5. Step 5: Solve for x
    x = 8,645,345.17/4,027.64
  6. Step 6: Final answer
    x = 2,146.50

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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.