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Finding the Fourth Proportional to 1,547.78, 2,134.76 and 1,129.01

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Solution

The fourth proportional to 1,547.78, 2,134.76 and 1,129.01 is: 1,557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.78 : 2,134.76 = 1,129.01 : x
  2. Step 2: Convert to fraction form
    1,547.78/2,134.76 = 1,129.01/x
  3. Step 3: Cross multiply
    1,547.78x = 2,134.76 × 1,129.01
  4. Step 4: Simplify right side
    1,547.78x = 2,410,149.07
  5. Step 5: Solve for x
    x = 2,410,149.07/1,547.78
  6. Step 6: Final answer
    x = 1,557.17

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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.