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Finding the Fourth Proportional to 2,127.40, 2,937 and 1,498.84

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Solution

The fourth proportional to 2,127.40, 2,937 and 1,498.84 is: 2,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.40 : 2,937 = 1,498.84 : x
  2. Step 2: Convert to fraction form
    2,127.40/2,937 = 1,498.84/x
  3. Step 3: Cross multiply
    2,127.40x = 2,937 × 1,498.84
  4. Step 4: Simplify right side
    2,127.40x = 4,402,093.08
  5. Step 5: Solve for x
    x = 4,402,093.08/2,127.40
  6. Step 6: Final answer
    x = 2,069.24

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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.