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Finding the Fourth Proportional to 2,981.51, 4,114.71 and 1,655.63

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Solution

The fourth proportional to 2,981.51, 4,114.71 and 1,655.63 is: 2,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.51 : 4,114.71 = 1,655.63 : x
  2. Step 2: Convert to fraction form
    2,981.51/4,114.71 = 1,655.63/x
  3. Step 3: Cross multiply
    2,981.51x = 4,114.71 × 1,655.63
  4. Step 4: Simplify right side
    2,981.51x = 6,812,416.74
  5. Step 5: Solve for x
    x = 6,812,416.74/2,981.51
  6. Step 6: Final answer
    x = 2,284.89

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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.