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Finding the Fourth Proportional to 2,302.70, 3,454.65 and 1,206.77

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Solution

The fourth proportional to 2,302.70, 3,454.65 and 1,206.77 is: 1,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.70 : 3,454.65 = 1,206.77 : x
  2. Step 2: Convert to fraction form
    2,302.70/3,454.65 = 1,206.77/x
  3. Step 3: Cross multiply
    2,302.70x = 3,454.65 × 1,206.77
  4. Step 4: Simplify right side
    2,302.70x = 4,168,950.71
  5. Step 5: Solve for x
    x = 4,168,950.71/2,302.70
  6. Step 6: Final answer
    x = 1,810.47

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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.