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Finding the Fourth Proportional to 1,700.16, 2,345.77 and 1,036.97

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Solution

The fourth proportional to 1,700.16, 2,345.77 and 1,036.97 is: 1,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.16 : 2,345.77 = 1,036.97 : x
  2. Step 2: Convert to fraction form
    1,700.16/2,345.77 = 1,036.97/x
  3. Step 3: Cross multiply
    1,700.16x = 2,345.77 × 1,036.97
  4. Step 4: Simplify right side
    1,700.16x = 2,432,500.28
  5. Step 5: Solve for x
    x = 2,432,500.28/1,700.16
  6. Step 6: Final answer
    x = 1,430.75

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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.