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Finding the Fourth Proportional to 1,547.28, 2,134.68 and 883.95

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Solution

The fourth proportional to 1,547.28, 2,134.68 and 883.95 is: 1,219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.28 : 2,134.68 = 883.95 : x
  2. Step 2: Convert to fraction form
    1,547.28/2,134.68 = 883.95/x
  3. Step 3: Cross multiply
    1,547.28x = 2,134.68 × 883.95
  4. Step 4: Simplify right side
    1,547.28x = 1,886,950.39
  5. Step 5: Solve for x
    x = 1,886,950.39/1,547.28
  6. Step 6: Final answer
    x = 1,219.53

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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.