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Finding the Fourth Proportional to 1,537.02, 2,121.57 and 907.52

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Solution

The fourth proportional to 1,537.02, 2,121.57 and 907.52 is: 1,252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.02 : 2,121.57 = 907.52 : x
  2. Step 2: Convert to fraction form
    1,537.02/2,121.57 = 907.52/x
  3. Step 3: Cross multiply
    1,537.02x = 2,121.57 × 907.52
  4. Step 4: Simplify right side
    1,537.02x = 1,925,356.60
  5. Step 5: Solve for x
    x = 1,925,356.60/1,537.02
  6. Step 6: Final answer
    x = 1,252.66

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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.