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Finding the Fourth Proportional to 1,715.04, 2,366.48 and 968.96

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Solution

The fourth proportional to 1,715.04, 2,366.48 and 968.96 is: 1,337.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.04 : 2,366.48 = 968.96 : x
  2. Step 2: Convert to fraction form
    1,715.04/2,366.48 = 968.96/x
  3. Step 3: Cross multiply
    1,715.04x = 2,366.48 × 968.96
  4. Step 4: Simplify right side
    1,715.04x = 2,293,024.46
  5. Step 5: Solve for x
    x = 2,293,024.46/1,715.04
  6. Step 6: Final answer
    x = 1,337.01

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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.