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Finding the Fourth Proportional to 2,329.80, 3,495.06 and 1,289.40

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Solution

The fourth proportional to 2,329.80, 3,495.06 and 1,289.40 is: 1,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.80 : 3,495.06 = 1,289.40 : x
  2. Step 2: Convert to fraction form
    2,329.80/3,495.06 = 1,289.40/x
  3. Step 3: Cross multiply
    2,329.80x = 3,495.06 × 1,289.40
  4. Step 4: Simplify right side
    2,329.80x = 4,506,530.36
  5. Step 5: Solve for x
    x = 4,506,530.36/2,329.80
  6. Step 6: Final answer
    x = 1,934.30

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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.