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Finding the Fourth Proportional to 2,046.06, 3,068.12 and 1,430.46

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Solution

The fourth proportional to 2,046.06, 3,068.12 and 1,430.46 is: 2,145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.06 : 3,068.12 = 1,430.46 : x
  2. Step 2: Convert to fraction form
    2,046.06/3,068.12 = 1,430.46/x
  3. Step 3: Cross multiply
    2,046.06x = 3,068.12 × 1,430.46
  4. Step 4: Simplify right side
    2,046.06x = 4,388,822.94
  5. Step 5: Solve for x
    x = 4,388,822.94/2,046.06
  6. Step 6: Final answer
    x = 2,145.01

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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.