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Finding the Fourth Proportional to 2,041.64, 2,814.03 and 1,562.93

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Solution

The fourth proportional to 2,041.64, 2,814.03 and 1,562.93 is: 2,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.64 : 2,814.03 = 1,562.93 : x
  2. Step 2: Convert to fraction form
    2,041.64/2,814.03 = 1,562.93/x
  3. Step 3: Cross multiply
    2,041.64x = 2,814.03 × 1,562.93
  4. Step 4: Simplify right side
    2,041.64x = 4,398,117.84
  5. Step 5: Solve for x
    x = 4,398,117.84/2,041.64
  6. Step 6: Final answer
    x = 2,154.21

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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.