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Finding the Fourth Proportional to 1,668.84, 2,502.42 and 975.66

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Solution

The fourth proportional to 1,668.84, 2,502.42 and 975.66 is: 1,463.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.84 : 2,502.42 = 975.66 : x
  2. Step 2: Convert to fraction form
    1,668.84/2,502.42 = 975.66/x
  3. Step 3: Cross multiply
    1,668.84x = 2,502.42 × 975.66
  4. Step 4: Simplify right side
    1,668.84x = 2,441,511.10
  5. Step 5: Solve for x
    x = 2,441,511.10/1,668.84
  6. Step 6: Final answer
    x = 1,463.00

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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.