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Finding the Fourth Proportional to 1,702.03, 2,343.31 and 1,177.15

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Solution

The fourth proportional to 1,702.03, 2,343.31 and 1,177.15 is: 1,620.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.03 : 2,343.31 = 1,177.15 : x
  2. Step 2: Convert to fraction form
    1,702.03/2,343.31 = 1,177.15/x
  3. Step 3: Cross multiply
    1,702.03x = 2,343.31 × 1,177.15
  4. Step 4: Simplify right side
    1,702.03x = 2,758,427.37
  5. Step 5: Solve for x
    x = 2,758,427.37/1,702.03
  6. Step 6: Final answer
    x = 1,620.67

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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.