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Finding the Fourth Proportional to 1,420.06, 2,130.09 and 432.88

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Solution

The fourth proportional to 1,420.06, 2,130.09 and 432.88 is: 649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.06 : 2,130.09 = 432.88 : x
  2. Step 2: Convert to fraction form
    1,420.06/2,130.09 = 432.88/x
  3. Step 3: Cross multiply
    1,420.06x = 2,130.09 × 432.88
  4. Step 4: Simplify right side
    1,420.06x = 922,073.36
  5. Step 5: Solve for x
    x = 922,073.36/1,420.06
  6. Step 6: Final answer
    x = 649.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.