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Finding the Fourth Proportional to 1,886.95, 2,602.69 and 1,328.59

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Solution

The fourth proportional to 1,886.95, 2,602.69 and 1,328.59 is: 1,832.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.95 : 2,602.69 = 1,328.59 : x
  2. Step 2: Convert to fraction form
    1,886.95/2,602.69 = 1,328.59/x
  3. Step 3: Cross multiply
    1,886.95x = 2,602.69 × 1,328.59
  4. Step 4: Simplify right side
    1,886.95x = 3,457,907.91
  5. Step 5: Solve for x
    x = 3,457,907.91/1,886.95
  6. Step 6: Final answer
    x = 1,832.54

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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.