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Finding the Fourth Proportional to 2,485.76, 3,430.14 and 1,437.62

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Solution

The fourth proportional to 2,485.76, 3,430.14 and 1,437.62 is: 1,983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.76 : 3,430.14 = 1,437.62 : x
  2. Step 2: Convert to fraction form
    2,485.76/3,430.14 = 1,437.62/x
  3. Step 3: Cross multiply
    2,485.76x = 3,430.14 × 1,437.62
  4. Step 4: Simplify right side
    2,485.76x = 4,931,237.87
  5. Step 5: Solve for x
    x = 4,931,237.87/2,485.76
  6. Step 6: Final answer
    x = 1,983.79

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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.