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Finding the Fourth Proportional to 2,971.65, 4,457.34 and 1,410.51

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Solution

The fourth proportional to 2,971.65, 4,457.34 and 1,410.51 is: 2,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.65 : 4,457.34 = 1,410.51 : x
  2. Step 2: Convert to fraction form
    2,971.65/4,457.34 = 1,410.51/x
  3. Step 3: Cross multiply
    2,971.65x = 4,457.34 × 1,410.51
  4. Step 4: Simplify right side
    2,971.65x = 6,287,122.64
  5. Step 5: Solve for x
    x = 6,287,122.64/2,971.65
  6. Step 6: Final answer
    x = 2,115.70

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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.