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Finding the Fourth Proportional to 1,421.94, 2,130.15 and 933.51

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Solution

The fourth proportional to 1,421.94, 2,130.15 and 933.51 is: 1,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.94 : 2,130.15 = 933.51 : x
  2. Step 2: Convert to fraction form
    1,421.94/2,130.15 = 933.51/x
  3. Step 3: Cross multiply
    1,421.94x = 2,130.15 × 933.51
  4. Step 4: Simplify right side
    1,421.94x = 1,988,516.33
  5. Step 5: Solve for x
    x = 1,988,516.33/1,421.94
  6. Step 6: Final answer
    x = 1,398.45

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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.