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Finding the Fourth Proportional to 1,719.86, 2,373.23 and 973.81

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Solution

The fourth proportional to 1,719.86, 2,373.23 and 973.81 is: 1,343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.86 : 2,373.23 = 973.81 : x
  2. Step 2: Convert to fraction form
    1,719.86/2,373.23 = 973.81/x
  3. Step 3: Cross multiply
    1,719.86x = 2,373.23 × 973.81
  4. Step 4: Simplify right side
    1,719.86x = 2,311,080.51
  5. Step 5: Solve for x
    x = 2,311,080.51/1,719.86
  6. Step 6: Final answer
    x = 1,343.76

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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.