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Finding the Fourth Proportional to 1,681.14, 2,521.82 and 707.32

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Solution

The fourth proportional to 1,681.14, 2,521.82 and 707.32 is: 1,061.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.14 : 2,521.82 = 707.32 : x
  2. Step 2: Convert to fraction form
    1,681.14/2,521.82 = 707.32/x
  3. Step 3: Cross multiply
    1,681.14x = 2,521.82 × 707.32
  4. Step 4: Simplify right side
    1,681.14x = 1,783,733.72
  5. Step 5: Solve for x
    x = 1,783,733.72/1,681.14
  6. Step 6: Final answer
    x = 1,061.03

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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.