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Finding the Fourth Proportional to 1,668.95, 2,503.25 and 975.18

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Solution

The fourth proportional to 1,668.95, 2,503.25 and 975.18 is: 1,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.95 : 2,503.25 = 975.18 : x
  2. Step 2: Convert to fraction form
    1,668.95/2,503.25 = 975.18/x
  3. Step 3: Cross multiply
    1,668.95x = 2,503.25 × 975.18
  4. Step 4: Simplify right side
    1,668.95x = 2,441,119.34
  5. Step 5: Solve for x
    x = 2,441,119.34/1,668.95
  6. Step 6: Final answer
    x = 1,462.67

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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.