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Finding the Fourth Proportional to 2,477.78, 3,419.09 and 1,430.18

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Solution

The fourth proportional to 2,477.78, 3,419.09 and 1,430.18 is: 1,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.78 : 3,419.09 = 1,430.18 : x
  2. Step 2: Convert to fraction form
    2,477.78/3,419.09 = 1,430.18/x
  3. Step 3: Cross multiply
    2,477.78x = 3,419.09 × 1,430.18
  4. Step 4: Simplify right side
    2,477.78x = 4,889,914.14
  5. Step 5: Solve for x
    x = 4,889,914.14/2,477.78
  6. Step 6: Final answer
    x = 1,973.51

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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.