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Finding the Fourth Proportional to 1,786.32, 2,461.97 and 1,507.26

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Solution

The fourth proportional to 1,786.32, 2,461.97 and 1,507.26 is: 2,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.32 : 2,461.97 = 1,507.26 : x
  2. Step 2: Convert to fraction form
    1,786.32/2,461.97 = 1,507.26/x
  3. Step 3: Cross multiply
    1,786.32x = 2,461.97 × 1,507.26
  4. Step 4: Simplify right side
    1,786.32x = 3,710,828.90
  5. Step 5: Solve for x
    x = 3,710,828.90/1,786.32
  6. Step 6: Final answer
    x = 2,077.36

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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.