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Finding the Fourth Proportional to 2,995.86, 4,495.71 and 1,456.02

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Solution

The fourth proportional to 2,995.86, 4,495.71 and 1,456.02 is: 2,184.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.86 : 4,495.71 = 1,456.02 : x
  2. Step 2: Convert to fraction form
    2,995.86/4,495.71 = 1,456.02/x
  3. Step 3: Cross multiply
    2,995.86x = 4,495.71 × 1,456.02
  4. Step 4: Simplify right side
    2,995.86x = 6,545,843.67
  5. Step 5: Solve for x
    x = 6,545,843.67/2,995.86
  6. Step 6: Final answer
    x = 2,184.96

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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.