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Finding the Fourth Proportional to 2,186.68, 3,018.25 and 1,430.57

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Solution

The fourth proportional to 2,186.68, 3,018.25 and 1,430.57 is: 1,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.68 : 3,018.25 = 1,430.57 : x
  2. Step 2: Convert to fraction form
    2,186.68/3,018.25 = 1,430.57/x
  3. Step 3: Cross multiply
    2,186.68x = 3,018.25 × 1,430.57
  4. Step 4: Simplify right side
    2,186.68x = 4,317,802.81
  5. Step 5: Solve for x
    x = 4,317,802.81/2,186.68
  6. Step 6: Final answer
    x = 1,974.60

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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.