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Finding the Fourth Proportional to 1,316.59, 1,973.23 and 1,151.67

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Solution

The fourth proportional to 1,316.59, 1,973.23 and 1,151.67 is: 1,726.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.59 : 1,973.23 = 1,151.67 : x
  2. Step 2: Convert to fraction form
    1,316.59/1,973.23 = 1,151.67/x
  3. Step 3: Cross multiply
    1,316.59x = 1,973.23 × 1,151.67
  4. Step 4: Simplify right side
    1,316.59x = 2,272,503.22
  5. Step 5: Solve for x
    x = 2,272,503.22/1,316.59
  6. Step 6: Final answer
    x = 1,726.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.