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Finding the Fourth Proportional to 1,854.64, 2,792.93 and 1,614.07

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Solution

The fourth proportional to 1,854.64, 2,792.93 and 1,614.07 is: 2,430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.64 : 2,792.93 = 1,614.07 : x
  2. Step 2: Convert to fraction form
    1,854.64/2,792.93 = 1,614.07/x
  3. Step 3: Cross multiply
    1,854.64x = 2,792.93 × 1,614.07
  4. Step 4: Simplify right side
    1,854.64x = 4,507,984.53
  5. Step 5: Solve for x
    x = 4,507,984.53/1,854.64
  6. Step 6: Final answer
    x = 2,430.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.