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Finding the Fourth Proportional to 1,547.24, 2,135.67 and 958.64

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Solution

The fourth proportional to 1,547.24, 2,135.67 and 958.64 is: 1,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.24 : 2,135.67 = 958.64 : x
  2. Step 2: Convert to fraction form
    1,547.24/2,135.67 = 958.64/x
  3. Step 3: Cross multiply
    1,547.24x = 2,135.67 × 958.64
  4. Step 4: Simplify right side
    1,547.24x = 2,047,338.69
  5. Step 5: Solve for x
    x = 2,047,338.69/1,547.24
  6. Step 6: Final answer
    x = 1,323.22

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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.