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Finding the Fourth Proportional to 1,547.82, 2,136.18 and 958.54

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Solution

The fourth proportional to 1,547.82, 2,136.18 and 958.54 is: 1,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.82 : 2,136.18 = 958.54 : x
  2. Step 2: Convert to fraction form
    1,547.82/2,136.18 = 958.54/x
  3. Step 3: Cross multiply
    1,547.82x = 2,136.18 × 958.54
  4. Step 4: Simplify right side
    1,547.82x = 2,047,613.98
  5. Step 5: Solve for x
    x = 2,047,613.98/1,547.82
  6. Step 6: Final answer
    x = 1,322.90

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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.