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Finding the Fourth Proportional to 1,547.03, 2,134.36 and 883.42

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Solution

The fourth proportional to 1,547.03, 2,134.36 and 883.42 is: 1,218.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.03 : 2,134.36 = 883.42 : x
  2. Step 2: Convert to fraction form
    1,547.03/2,134.36 = 883.42/x
  3. Step 3: Cross multiply
    1,547.03x = 2,134.36 × 883.42
  4. Step 4: Simplify right side
    1,547.03x = 1,885,536.31
  5. Step 5: Solve for x
    x = 1,885,536.31/1,547.03
  6. Step 6: Final answer
    x = 1,218.81

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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.