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Finding the Fourth Proportional to 1,681.65, 2,525.21 and 1,036.48

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Solution

The fourth proportional to 1,681.65, 2,525.21 and 1,036.48 is: 1,556.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.65 : 2,525.21 = 1,036.48 : x
  2. Step 2: Convert to fraction form
    1,681.65/2,525.21 = 1,036.48/x
  3. Step 3: Cross multiply
    1,681.65x = 2,525.21 × 1,036.48
  4. Step 4: Simplify right side
    1,681.65x = 2,617,329.66
  5. Step 5: Solve for x
    x = 2,617,329.66/1,681.65
  6. Step 6: Final answer
    x = 1,556.41

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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.