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Finding the Fourth Proportional to 1,719.86, 2,373.35 and 973.76

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Solution

The fourth proportional to 1,719.86, 2,373.35 and 973.76 is: 1,343.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.86 : 2,373.35 = 973.76 : x
  2. Step 2: Convert to fraction form
    1,719.86/2,373.35 = 973.76/x
  3. Step 3: Cross multiply
    1,719.86x = 2,373.35 × 973.76
  4. Step 4: Simplify right side
    1,719.86x = 2,311,056.56
  5. Step 5: Solve for x
    x = 2,311,056.56/1,719.86
  6. Step 6: Final answer
    x = 1,343.75

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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.