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Finding the Fourth Proportional to 3,070.88, 4,606.86 and 1,429.28

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Solution

The fourth proportional to 3,070.88, 4,606.86 and 1,429.28 is: 2,144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.88 : 4,606.86 = 1,429.28 : x
  2. Step 2: Convert to fraction form
    3,070.88/4,606.86 = 1,429.28/x
  3. Step 3: Cross multiply
    3,070.88x = 4,606.86 × 1,429.28
  4. Step 4: Simplify right side
    3,070.88x = 6,584,492.86
  5. Step 5: Solve for x
    x = 6,584,492.86/3,070.88
  6. Step 6: Final answer
    x = 2,144.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.