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Finding the Fourth Proportional to 1,740.64, 2,402.16 and 1,042

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Solution

The fourth proportional to 1,740.64, 2,402.16 and 1,042 is: 1,438.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.64 : 2,402.16 = 1,042 : x
  2. Step 2: Convert to fraction form
    1,740.64/2,402.16 = 1,042/x
  3. Step 3: Cross multiply
    1,740.64x = 2,402.16 × 1,042
  4. Step 4: Simplify right side
    1,740.64x = 2,503,050.72
  5. Step 5: Solve for x
    x = 2,503,050.72/1,740.64
  6. Step 6: Final answer
    x = 1,438.01

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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.