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Finding the Fourth Proportional to 1,420.71, 2,114.51 and 1,407.03

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Solution

The fourth proportional to 1,420.71, 2,114.51 and 1,407.03 is: 2,094.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.71 : 2,114.51 = 1,407.03 : x
  2. Step 2: Convert to fraction form
    1,420.71/2,114.51 = 1,407.03/x
  3. Step 3: Cross multiply
    1,420.71x = 2,114.51 × 1,407.03
  4. Step 4: Simplify right side
    1,420.71x = 2,975,179.01
  5. Step 5: Solve for x
    x = 2,975,179.01/1,420.71
  6. Step 6: Final answer
    x = 2,094.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.