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Finding the Fourth Proportional to 1,719.69, 2,373.33 and 973.77

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Solution

The fourth proportional to 1,719.69, 2,373.33 and 973.77 is: 1,343.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.69 : 2,373.33 = 973.77 : x
  2. Step 2: Convert to fraction form
    1,719.69/2,373.33 = 973.77/x
  3. Step 3: Cross multiply
    1,719.69x = 2,373.33 × 973.77
  4. Step 4: Simplify right side
    1,719.69x = 2,311,077.55
  5. Step 5: Solve for x
    x = 2,311,077.55/1,719.69
  6. Step 6: Final answer
    x = 1,343.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.