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Finding the Fourth Proportional to 1,837.84, 2,533.53 and 1,505.74

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Solution

The fourth proportional to 1,837.84, 2,533.53 and 1,505.74 is: 2,075.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.84 : 2,533.53 = 1,505.74 : x
  2. Step 2: Convert to fraction form
    1,837.84/2,533.53 = 1,505.74/x
  3. Step 3: Cross multiply
    1,837.84x = 2,533.53 × 1,505.74
  4. Step 4: Simplify right side
    1,837.84x = 3,814,837.46
  5. Step 5: Solve for x
    x = 3,814,837.46/1,837.84
  6. Step 6: Final answer
    x = 2,075.72

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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.