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Finding the Fourth Proportional to 3,417.66, 4,716.66 and 1,925.50

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Solution

The fourth proportional to 3,417.66, 4,716.66 and 1,925.50 is: 2,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.66 : 4,716.66 = 1,925.50 : x
  2. Step 2: Convert to fraction form
    3,417.66/4,716.66 = 1,925.50/x
  3. Step 3: Cross multiply
    3,417.66x = 4,716.66 × 1,925.50
  4. Step 4: Simplify right side
    3,417.66x = 9,081,928.83
  5. Step 5: Solve for x
    x = 9,081,928.83/3,417.66
  6. Step 6: Final answer
    x = 2,657.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.