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Finding the Fourth Proportional to 2,477.60, 3,419.48 and 1,429.72

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Solution

The fourth proportional to 2,477.60, 3,419.48 and 1,429.72 is: 1,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.60 : 3,419.48 = 1,429.72 : x
  2. Step 2: Convert to fraction form
    2,477.60/3,419.48 = 1,429.72/x
  3. Step 3: Cross multiply
    2,477.60x = 3,419.48 × 1,429.72
  4. Step 4: Simplify right side
    2,477.60x = 4,888,898.95
  5. Step 5: Solve for x
    x = 4,888,898.95/2,477.60
  6. Step 6: Final answer
    x = 1,973.24

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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.