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Finding the Fourth Proportional to 2,877.92, 4,303.35 and 2,053.64

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Solution

The fourth proportional to 2,877.92, 4,303.35 and 2,053.64 is: 3,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.92 : 4,303.35 = 2,053.64 : x
  2. Step 2: Convert to fraction form
    2,877.92/4,303.35 = 2,053.64/x
  3. Step 3: Cross multiply
    2,877.92x = 4,303.35 × 2,053.64
  4. Step 4: Simplify right side
    2,877.92x = 8,837,510.18
  5. Step 5: Solve for x
    x = 8,837,510.18/2,877.92
  6. Step 6: Final answer
    x = 3,070.80

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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.