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Finding the Fourth Proportional to 1,411.65, 2,115.45 and 978.30

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Solution

The fourth proportional to 1,411.65, 2,115.45 and 978.30 is: 1,466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.65 : 2,115.45 = 978.30 : x
  2. Step 2: Convert to fraction form
    1,411.65/2,115.45 = 978.30/x
  3. Step 3: Cross multiply
    1,411.65x = 2,115.45 × 978.30
  4. Step 4: Simplify right side
    1,411.65x = 2,069,544.74
  5. Step 5: Solve for x
    x = 2,069,544.74/1,411.65
  6. Step 6: Final answer
    x = 1,466.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.