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Finding the Fourth Proportional to 1,301.17, 1,950.39 and 975.55

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Solution

The fourth proportional to 1,301.17, 1,950.39 and 975.55 is: 1,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.17 : 1,950.39 = 975.55 : x
  2. Step 2: Convert to fraction form
    1,301.17/1,950.39 = 975.55/x
  3. Step 3: Cross multiply
    1,301.17x = 1,950.39 × 975.55
  4. Step 4: Simplify right side
    1,301.17x = 1,902,702.96
  5. Step 5: Solve for x
    x = 1,902,702.96/1,301.17
  6. Step 6: Final answer
    x = 1,462.30

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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.