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Finding the Fourth Proportional to 1,955.35, 2,931.18 and 655.91

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Solution

The fourth proportional to 1,955.35, 2,931.18 and 655.91 is: 983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.35 : 2,931.18 = 655.91 : x
  2. Step 2: Convert to fraction form
    1,955.35/2,931.18 = 655.91/x
  3. Step 3: Cross multiply
    1,955.35x = 2,931.18 × 655.91
  4. Step 4: Simplify right side
    1,955.35x = 1,922,590.27
  5. Step 5: Solve for x
    x = 1,922,590.27/1,955.35
  6. Step 6: Final answer
    x = 983.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.