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Finding the Fourth Proportional to 4,703.84, 7,053.52 and 1,780.28

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Solution

The fourth proportional to 4,703.84, 7,053.52 and 1,780.28 is: 2,669.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.84 : 7,053.52 = 1,780.28 : x
  2. Step 2: Convert to fraction form
    4,703.84/7,053.52 = 1,780.28/x
  3. Step 3: Cross multiply
    4,703.84x = 7,053.52 × 1,780.28
  4. Step 4: Simplify right side
    4,703.84x = 12,557,240.59
  5. Step 5: Solve for x
    x = 12,557,240.59/4,703.84
  6. Step 6: Final answer
    x = 2,669.57

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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.