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Finding the Fourth Proportional to 3,248.50, 4,482.93 and 1,776.50

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Solution

The fourth proportional to 3,248.50, 4,482.93 and 1,776.50 is: 2,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.50 : 4,482.93 = 1,776.50 : x
  2. Step 2: Convert to fraction form
    3,248.50/4,482.93 = 1,776.50/x
  3. Step 3: Cross multiply
    3,248.50x = 4,482.93 × 1,776.50
  4. Step 4: Simplify right side
    3,248.50x = 7,963,925.15
  5. Step 5: Solve for x
    x = 7,963,925.15/3,248.50
  6. Step 6: Final answer
    x = 2,451.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.