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Finding the Fourth Proportional to 2,670.65, 4,007.93 and 1,006.34

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Solution

The fourth proportional to 2,670.65, 4,007.93 and 1,006.34 is: 1,510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.65 : 4,007.93 = 1,006.34 : x
  2. Step 2: Convert to fraction form
    2,670.65/4,007.93 = 1,006.34/x
  3. Step 3: Cross multiply
    2,670.65x = 4,007.93 × 1,006.34
  4. Step 4: Simplify right side
    2,670.65x = 4,033,315.20
  5. Step 5: Solve for x
    x = 4,033,315.20/2,670.65
  6. Step 6: Final answer
    x = 1,510.24

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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.