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Finding the Fourth Proportional to 1,707.04, 2,560.47 and 976.15

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Solution

The fourth proportional to 1,707.04, 2,560.47 and 976.15 is: 1,464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.04 : 2,560.47 = 976.15 : x
  2. Step 2: Convert to fraction form
    1,707.04/2,560.47 = 976.15/x
  3. Step 3: Cross multiply
    1,707.04x = 2,560.47 × 976.15
  4. Step 4: Simplify right side
    1,707.04x = 2,499,402.79
  5. Step 5: Solve for x
    x = 2,499,402.79/1,707.04
  6. Step 6: Final answer
    x = 1,464.17

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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.