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Finding the Fourth Proportional to 3,053.70, 4,214.12 and 1,656.45

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Solution

The fourth proportional to 3,053.70, 4,214.12 and 1,656.45 is: 2,285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.70 : 4,214.12 = 1,656.45 : x
  2. Step 2: Convert to fraction form
    3,053.70/4,214.12 = 1,656.45/x
  3. Step 3: Cross multiply
    3,053.70x = 4,214.12 × 1,656.45
  4. Step 4: Simplify right side
    3,053.70x = 6,980,470.79
  5. Step 5: Solve for x
    x = 6,980,470.79/3,053.70
  6. Step 6: Final answer
    x = 2,285.91

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