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Finding the Fourth Proportional to 1,846.65, 2,548.44 and 1,007.40

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Solution

The fourth proportional to 1,846.65, 2,548.44 and 1,007.40 is: 1,390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.65 : 2,548.44 = 1,007.40 : x
  2. Step 2: Convert to fraction form
    1,846.65/2,548.44 = 1,007.40/x
  3. Step 3: Cross multiply
    1,846.65x = 2,548.44 × 1,007.40
  4. Step 4: Simplify right side
    1,846.65x = 2,567,298.46
  5. Step 5: Solve for x
    x = 2,567,298.46/1,846.65
  6. Step 6: Final answer
    x = 1,390.25

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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.