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Finding the Fourth Proportional to 1,926.40, 2,655.36 and 1,840

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Solution

The fourth proportional to 1,926.40, 2,655.36 and 1,840 is: 2,536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.40 : 2,655.36 = 1,840 : x
  2. Step 2: Convert to fraction form
    1,926.40/2,655.36 = 1,840/x
  3. Step 3: Cross multiply
    1,926.40x = 2,655.36 × 1,840
  4. Step 4: Simplify right side
    1,926.40x = 4,885,862.40
  5. Step 5: Solve for x
    x = 4,885,862.40/1,926.40
  6. Step 6: Final answer
    x = 2,536.27

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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.