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Finding the Fourth Proportional to 1,699.10, 2,345.42 and 1,652.29

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Solution

The fourth proportional to 1,699.10, 2,345.42 and 1,652.29 is: 2,280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.10 : 2,345.42 = 1,652.29 : x
  2. Step 2: Convert to fraction form
    1,699.10/2,345.42 = 1,652.29/x
  3. Step 3: Cross multiply
    1,699.10x = 2,345.42 × 1,652.29
  4. Step 4: Simplify right side
    1,699.10x = 3,875,314.01
  5. Step 5: Solve for x
    x = 3,875,314.01/1,699.10
  6. Step 6: Final answer
    x = 2,280.80

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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.