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Finding the Fourth Proportional to 2,477.06, 3,708.70 and 1,980.93

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Solution

The fourth proportional to 2,477.06, 3,708.70 and 1,980.93 is: 2,965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.06 : 3,708.70 = 1,980.93 : x
  2. Step 2: Convert to fraction form
    2,477.06/3,708.70 = 1,980.93/x
  3. Step 3: Cross multiply
    2,477.06x = 3,708.70 × 1,980.93
  4. Step 4: Simplify right side
    2,477.06x = 7,346,670.14
  5. Step 5: Solve for x
    x = 7,346,670.14/2,477.06
  6. Step 6: Final answer
    x = 2,965.89

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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.