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Finding the Fourth Proportional to 1,740.03, 2,608.23 and 916.49

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Solution

The fourth proportional to 1,740.03, 2,608.23 and 916.49 is: 1,373.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.03 : 2,608.23 = 916.49 : x
  2. Step 2: Convert to fraction form
    1,740.03/2,608.23 = 916.49/x
  3. Step 3: Cross multiply
    1,740.03x = 2,608.23 × 916.49
  4. Step 4: Simplify right side
    1,740.03x = 2,390,411.60
  5. Step 5: Solve for x
    x = 2,390,411.60/1,740.03
  6. Step 6: Final answer
    x = 1,373.77

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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.