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Finding the Fourth Proportional to 2,824.78, 4,235.52 and 975.10

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Solution

The fourth proportional to 2,824.78, 4,235.52 and 975.10 is: 1,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.78 : 4,235.52 = 975.10 : x
  2. Step 2: Convert to fraction form
    2,824.78/4,235.52 = 975.10/x
  3. Step 3: Cross multiply
    2,824.78x = 4,235.52 × 975.10
  4. Step 4: Simplify right side
    2,824.78x = 4,130,055.55
  5. Step 5: Solve for x
    x = 4,130,055.55/2,824.78
  6. Step 6: Final answer
    x = 1,462.08

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