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Finding the Fourth Proportional to 1,707.50, 2,575.55 and 1,606.37

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Solution

The fourth proportional to 1,707.50, 2,575.55 and 1,606.37 is: 2,423.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.50 : 2,575.55 = 1,606.37 : x
  2. Step 2: Convert to fraction form
    1,707.50/2,575.55 = 1,606.37/x
  3. Step 3: Cross multiply
    1,707.50x = 2,575.55 × 1,606.37
  4. Step 4: Simplify right side
    1,707.50x = 4,137,277.39
  5. Step 5: Solve for x
    x = 4,137,277.39/1,707.50
  6. Step 6: Final answer
    x = 2,423.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.