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Finding the Fourth Proportional to 2,465.32, 3,698.94 and 1,370.92

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Solution

The fourth proportional to 2,465.32, 3,698.94 and 1,370.92 is: 2,056.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.32 : 3,698.94 = 1,370.92 : x
  2. Step 2: Convert to fraction form
    2,465.32/3,698.94 = 1,370.92/x
  3. Step 3: Cross multiply
    2,465.32x = 3,698.94 × 1,370.92
  4. Step 4: Simplify right side
    2,465.32x = 5,070,950.82
  5. Step 5: Solve for x
    x = 5,070,950.82/2,465.32
  6. Step 6: Final answer
    x = 2,056.91

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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.