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Finding the Fourth Proportional to 2,457.66, 3,386.85 and 1,571.93

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Solution

The fourth proportional to 2,457.66, 3,386.85 and 1,571.93 is: 2,166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.66 : 3,386.85 = 1,571.93 : x
  2. Step 2: Convert to fraction form
    2,457.66/3,386.85 = 1,571.93/x
  3. Step 3: Cross multiply
    2,457.66x = 3,386.85 × 1,571.93
  4. Step 4: Simplify right side
    2,457.66x = 5,323,874.19
  5. Step 5: Solve for x
    x = 5,323,874.19/2,457.66
  6. Step 6: Final answer
    x = 2,166.24

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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.