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Finding the Fourth Proportional to 1,852.64, 2,551.20 and 1,656.08

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Solution

The fourth proportional to 1,852.64, 2,551.20 and 1,656.08 is: 2,280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.64 : 2,551.20 = 1,656.08 : x
  2. Step 2: Convert to fraction form
    1,852.64/2,551.20 = 1,656.08/x
  3. Step 3: Cross multiply
    1,852.64x = 2,551.20 × 1,656.08
  4. Step 4: Simplify right side
    1,852.64x = 4,224,991.30
  5. Step 5: Solve for x
    x = 4,224,991.30/1,852.64
  6. Step 6: Final answer
    x = 2,280.52

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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.