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Finding the Fourth Proportional to 1,420.16, 2,130.40 and 554.72

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Solution

The fourth proportional to 1,420.16, 2,130.40 and 554.72 is: 832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.16 : 2,130.40 = 554.72 : x
  2. Step 2: Convert to fraction form
    1,420.16/2,130.40 = 554.72/x
  3. Step 3: Cross multiply
    1,420.16x = 2,130.40 × 554.72
  4. Step 4: Simplify right side
    1,420.16x = 1,181,775.49
  5. Step 5: Solve for x
    x = 1,181,775.49/1,420.16
  6. Step 6: Final answer
    x = 832.14

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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.