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Finding the Fourth Proportional to 1,547.50, 2,135.56 and 839.35

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Solution

The fourth proportional to 1,547.50, 2,135.56 and 839.35 is: 1,158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.50 : 2,135.56 = 839.35 : x
  2. Step 2: Convert to fraction form
    1,547.50/2,135.56 = 839.35/x
  3. Step 3: Cross multiply
    1,547.50x = 2,135.56 × 839.35
  4. Step 4: Simplify right side
    1,547.50x = 1,792,474.85
  5. Step 5: Solve for x
    x = 1,792,474.85/1,547.50
  6. Step 6: Final answer
    x = 1,158.31

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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.