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Finding the Fourth Proportional to 2,547.77, 3,822.93 and 988.85

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Solution

The fourth proportional to 2,547.77, 3,822.93 and 988.85 is: 1,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.77 : 3,822.93 = 988.85 : x
  2. Step 2: Convert to fraction form
    2,547.77/3,822.93 = 988.85/x
  3. Step 3: Cross multiply
    2,547.77x = 3,822.93 × 988.85
  4. Step 4: Simplify right side
    2,547.77x = 3,780,313.89
  5. Step 5: Solve for x
    x = 3,780,313.89/2,547.77
  6. Step 6: Final answer
    x = 1,483.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.