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Finding the Fourth Proportional to 1,786, 2,464.46 and 1,000.02

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Solution

The fourth proportional to 1,786, 2,464.46 and 1,000.02 is: 1,379.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786 : 2,464.46 = 1,000.02 : x
  2. Step 2: Convert to fraction form
    1,786/2,464.46 = 1,000.02/x
  3. Step 3: Cross multiply
    1,786x = 2,464.46 × 1,000.02
  4. Step 4: Simplify right side
    1,786x = 2,464,509.29
  5. Step 5: Solve for x
    x = 2,464,509.29/1,786
  6. Step 6: Final answer
    x = 1,379.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.