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Finding the Fourth Proportional to 2,390.52, 3,297.60 and 1,506

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Solution

The fourth proportional to 2,390.52, 3,297.60 and 1,506 is: 2,077.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.52 : 3,297.60 = 1,506 : x
  2. Step 2: Convert to fraction form
    2,390.52/3,297.60 = 1,506/x
  3. Step 3: Cross multiply
    2,390.52x = 3,297.60 × 1,506
  4. Step 4: Simplify right side
    2,390.52x = 4,966,185.60
  5. Step 5: Solve for x
    x = 4,966,185.60/2,390.52
  6. Step 6: Final answer
    x = 2,077.45

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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.