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Finding the Fourth Proportional to 1,526.17, 2,285.79 and 970.87

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Solution

The fourth proportional to 1,526.17, 2,285.79 and 970.87 is: 1,454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.17 : 2,285.79 = 970.87 : x
  2. Step 2: Convert to fraction form
    1,526.17/2,285.79 = 970.87/x
  3. Step 3: Cross multiply
    1,526.17x = 2,285.79 × 970.87
  4. Step 4: Simplify right side
    1,526.17x = 2,219,210.26
  5. Step 5: Solve for x
    x = 2,219,210.26/1,526.17
  6. Step 6: Final answer
    x = 1,454.11

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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.