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Finding the Fourth Proportional to 1,740.88, 2,598.68 and 1,612.40

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Solution

The fourth proportional to 1,740.88, 2,598.68 and 1,612.40 is: 2,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.88 : 2,598.68 = 1,612.40 : x
  2. Step 2: Convert to fraction form
    1,740.88/2,598.68 = 1,612.40/x
  3. Step 3: Cross multiply
    1,740.88x = 2,598.68 × 1,612.40
  4. Step 4: Simplify right side
    1,740.88x = 4,190,111.63
  5. Step 5: Solve for x
    x = 4,190,111.63/1,740.88
  6. Step 6: Final answer
    x = 2,406.89

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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.