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Finding the Fourth Proportional to 2,953.60, 4,428.12 and 1,567.12

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Solution

The fourth proportional to 2,953.60, 4,428.12 and 1,567.12 is: 2,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.60 : 4,428.12 = 1,567.12 : x
  2. Step 2: Convert to fraction form
    2,953.60/4,428.12 = 1,567.12/x
  3. Step 3: Cross multiply
    2,953.60x = 4,428.12 × 1,567.12
  4. Step 4: Simplify right side
    2,953.60x = 6,939,395.41
  5. Step 5: Solve for x
    x = 6,939,395.41/2,953.60
  6. Step 6: Final answer
    x = 2,349.47

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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.