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Finding the Fourth Proportional to 2,038.96, 2,810.46 and 1,595.80

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Solution

The fourth proportional to 2,038.96, 2,810.46 and 1,595.80 is: 2,199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.96 : 2,810.46 = 1,595.80 : x
  2. Step 2: Convert to fraction form
    2,038.96/2,810.46 = 1,595.80/x
  3. Step 3: Cross multiply
    2,038.96x = 2,810.46 × 1,595.80
  4. Step 4: Simplify right side
    2,038.96x = 4,484,932.07
  5. Step 5: Solve for x
    x = 4,484,932.07/2,038.96
  6. Step 6: Final answer
    x = 2,199.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.