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Finding the Fourth Proportional to 1,308.10, 1,973.81 and 1,257.47

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Solution

The fourth proportional to 1,308.10, 1,973.81 and 1,257.47 is: 1,897.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.10 : 1,973.81 = 1,257.47 : x
  2. Step 2: Convert to fraction form
    1,308.10/1,973.81 = 1,257.47/x
  3. Step 3: Cross multiply
    1,308.10x = 1,973.81 × 1,257.47
  4. Step 4: Simplify right side
    1,308.10x = 2,482,006.86
  5. Step 5: Solve for x
    x = 2,482,006.86/1,308.10
  6. Step 6: Final answer
    x = 1,897.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.