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Finding the Fourth Proportional to 2,465.86, 3,698.82 and 710.89

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Solution

The fourth proportional to 2,465.86, 3,698.82 and 710.89 is: 1,066.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.86 : 3,698.82 = 710.89 : x
  2. Step 2: Convert to fraction form
    2,465.86/3,698.82 = 710.89/x
  3. Step 3: Cross multiply
    2,465.86x = 3,698.82 × 710.89
  4. Step 4: Simplify right side
    2,465.86x = 2,629,458.77
  5. Step 5: Solve for x
    x = 2,629,458.77/2,465.86
  6. Step 6: Final answer
    x = 1,066.35

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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.