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Finding the Fourth Proportional to 1,215.48, 1,824.30 and 971.40

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Solution

The fourth proportional to 1,215.48, 1,824.30 and 971.40 is: 1,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.48 : 1,824.30 = 971.40 : x
  2. Step 2: Convert to fraction form
    1,215.48/1,824.30 = 971.40/x
  3. Step 3: Cross multiply
    1,215.48x = 1,824.30 × 971.40
  4. Step 4: Simplify right side
    1,215.48x = 1,772,125.02
  5. Step 5: Solve for x
    x = 1,772,125.02/1,215.48
  6. Step 6: Final answer
    x = 1,457.96

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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.