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Finding the Fourth Proportional to 1,705.55, 2,564.40 and 1,669.10

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Solution

The fourth proportional to 1,705.55, 2,564.40 and 1,669.10 is: 2,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.55 : 2,564.40 = 1,669.10 : x
  2. Step 2: Convert to fraction form
    1,705.55/2,564.40 = 1,669.10/x
  3. Step 3: Cross multiply
    1,705.55x = 2,564.40 × 1,669.10
  4. Step 4: Simplify right side
    1,705.55x = 4,280,240.04
  5. Step 5: Solve for x
    x = 4,280,240.04/1,705.55
  6. Step 6: Final answer
    x = 2,509.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.