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Finding the Fourth Proportional to 1,597.50, 2,386.50 and 1,273.23

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Solution

The fourth proportional to 1,597.50, 2,386.50 and 1,273.23 is: 1,902.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.50 : 2,386.50 = 1,273.23 : x
  2. Step 2: Convert to fraction form
    1,597.50/2,386.50 = 1,273.23/x
  3. Step 3: Cross multiply
    1,597.50x = 2,386.50 × 1,273.23
  4. Step 4: Simplify right side
    1,597.50x = 3,038,563.40
  5. Step 5: Solve for x
    x = 3,038,563.40/1,597.50
  6. Step 6: Final answer
    x = 1,902.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.