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Finding the Fourth Proportional to 1,707.89, 2,558.93 and 1,536.71

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Solution

The fourth proportional to 1,707.89, 2,558.93 and 1,536.71 is: 2,302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.89 : 2,558.93 = 1,536.71 : x
  2. Step 2: Convert to fraction form
    1,707.89/2,558.93 = 1,536.71/x
  3. Step 3: Cross multiply
    1,707.89x = 2,558.93 × 1,536.71
  4. Step 4: Simplify right side
    1,707.89x = 3,932,312.84
  5. Step 5: Solve for x
    x = 3,932,312.84/1,707.89
  6. Step 6: Final answer
    x = 2,302.45

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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.