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Finding the Fourth Proportional to 1,536.84, 2,123.55 and 1,340.01

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Solution

The fourth proportional to 1,536.84, 2,123.55 and 1,340.01 is: 1,851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.84 : 2,123.55 = 1,340.01 : x
  2. Step 2: Convert to fraction form
    1,536.84/2,123.55 = 1,340.01/x
  3. Step 3: Cross multiply
    1,536.84x = 2,123.55 × 1,340.01
  4. Step 4: Simplify right side
    1,536.84x = 2,845,578.24
  5. Step 5: Solve for x
    x = 2,845,578.24/1,536.84
  6. Step 6: Final answer
    x = 1,851.58

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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.