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Finding the Fourth Proportional to 1,498.76, 2,069.31 and 975.70

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Solution

The fourth proportional to 1,498.76, 2,069.31 and 975.70 is: 1,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.76 : 2,069.31 = 975.70 : x
  2. Step 2: Convert to fraction form
    1,498.76/2,069.31 = 975.70/x
  3. Step 3: Cross multiply
    1,498.76x = 2,069.31 × 975.70
  4. Step 4: Simplify right side
    1,498.76x = 2,019,025.77
  5. Step 5: Solve for x
    x = 2,019,025.77/1,498.76
  6. Step 6: Final answer
    x = 1,347.13

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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.