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Finding the Fourth Proportional to 2,970.35, 4,456.80 and 1,411.45

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Solution

The fourth proportional to 2,970.35, 4,456.80 and 1,411.45 is: 2,117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.35 : 4,456.80 = 1,411.45 : x
  2. Step 2: Convert to fraction form
    2,970.35/4,456.80 = 1,411.45/x
  3. Step 3: Cross multiply
    2,970.35x = 4,456.80 × 1,411.45
  4. Step 4: Simplify right side
    2,970.35x = 6,290,550.36
  5. Step 5: Solve for x
    x = 6,290,550.36/2,970.35
  6. Step 6: Final answer
    x = 2,117.78

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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.