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Finding the Fourth Proportional to 1,784.34, 2,457 and 1,562.00

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Solution

The fourth proportional to 1,784.34, 2,457 and 1,562.00 is: 2,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.34 : 2,457 = 1,562.00 : x
  2. Step 2: Convert to fraction form
    1,784.34/2,457 = 1,562.00/x
  3. Step 3: Cross multiply
    1,784.34x = 2,457 × 1,562.00
  4. Step 4: Simplify right side
    1,784.34x = 3,837,821.72
  5. Step 5: Solve for x
    x = 3,837,821.72/1,784.34
  6. Step 6: Final answer
    x = 2,150.84

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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.