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Finding the Fourth Proportional to 2,547.95, 3,822.06 and 988.20

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Solution

The fourth proportional to 2,547.95, 3,822.06 and 988.20 is: 1,482.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.95 : 3,822.06 = 988.20 : x
  2. Step 2: Convert to fraction form
    2,547.95/3,822.06 = 988.20/x
  3. Step 3: Cross multiply
    2,547.95x = 3,822.06 × 988.20
  4. Step 4: Simplify right side
    2,547.95x = 3,776,959.69
  5. Step 5: Solve for x
    x = 3,776,959.69/2,547.95
  6. Step 6: Final answer
    x = 1,482.36

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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.