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Finding the Fourth Proportional to 1,720.04, 2,373.66 and 934.10

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Solution

The fourth proportional to 1,720.04, 2,373.66 and 934.10 is: 1,289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.04 : 2,373.66 = 934.10 : x
  2. Step 2: Convert to fraction form
    1,720.04/2,373.66 = 934.10/x
  3. Step 3: Cross multiply
    1,720.04x = 2,373.66 × 934.10
  4. Step 4: Simplify right side
    1,720.04x = 2,217,235.81
  5. Step 5: Solve for x
    x = 2,217,235.81/1,720.04
  6. Step 6: Final answer
    x = 1,289.06

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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.