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Finding the Fourth Proportional to 1,707.67, 2,563.53 and 1,437.13

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Solution

The fourth proportional to 1,707.67, 2,563.53 and 1,437.13 is: 2,157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.67 : 2,563.53 = 1,437.13 : x
  2. Step 2: Convert to fraction form
    1,707.67/2,563.53 = 1,437.13/x
  3. Step 3: Cross multiply
    1,707.67x = 2,563.53 × 1,437.13
  4. Step 4: Simplify right side
    1,707.67x = 3,684,125.87
  5. Step 5: Solve for x
    x = 3,684,125.87/1,707.67
  6. Step 6: Final answer
    x = 2,157.40

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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.