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Finding the Fourth Proportional to 1,707.50, 2,357.62 and 1,045.26

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Solution

The fourth proportional to 1,707.50, 2,357.62 and 1,045.26 is: 1,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.50 : 2,357.62 = 1,045.26 : x
  2. Step 2: Convert to fraction form
    1,707.50/2,357.62 = 1,045.26/x
  3. Step 3: Cross multiply
    1,707.50x = 2,357.62 × 1,045.26
  4. Step 4: Simplify right side
    1,707.50x = 2,464,323.27
  5. Step 5: Solve for x
    x = 2,464,323.27/1,707.50
  6. Step 6: Final answer
    x = 1,443.23

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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.