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Finding the Fourth Proportional to 2,970.61, 4,455.82 and 1,411.74

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Solution

The fourth proportional to 2,970.61, 4,455.82 and 1,411.74 is: 2,117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.61 : 4,455.82 = 1,411.74 : x
  2. Step 2: Convert to fraction form
    2,970.61/4,455.82 = 1,411.74/x
  3. Step 3: Cross multiply
    2,970.61x = 4,455.82 × 1,411.74
  4. Step 4: Simplify right side
    2,970.61x = 6,290,437.05
  5. Step 5: Solve for x
    x = 6,290,437.05/2,970.61
  6. Step 6: Final answer
    x = 2,117.56

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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.