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Finding the Fourth Proportional to 1,547.56, 2,135.66 and 848.94

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Solution

The fourth proportional to 1,547.56, 2,135.66 and 848.94 is: 1,171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.56 : 2,135.66 = 848.94 : x
  2. Step 2: Convert to fraction form
    1,547.56/2,135.66 = 848.94/x
  3. Step 3: Cross multiply
    1,547.56x = 2,135.66 × 848.94
  4. Step 4: Simplify right side
    1,547.56x = 1,813,047.20
  5. Step 5: Solve for x
    x = 1,813,047.20/1,547.56
  6. Step 6: Final answer
    x = 1,171.55

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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.