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Finding the Fourth Proportional to 1,664.58, 2,496.64 and 971.58

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Solution

The fourth proportional to 1,664.58, 2,496.64 and 971.58 is: 1,457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.58 : 2,496.64 = 971.58 : x
  2. Step 2: Convert to fraction form
    1,664.58/2,496.64 = 971.58/x
  3. Step 3: Cross multiply
    1,664.58x = 2,496.64 × 971.58
  4. Step 4: Simplify right side
    1,664.58x = 2,425,680.20
  5. Step 5: Solve for x
    x = 2,425,680.20/1,664.58
  6. Step 6: Final answer
    x = 1,457.23

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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.