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Finding the Fourth Proportional to 1,870.52, 2,803.41 and 1,047.60

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Solution

The fourth proportional to 1,870.52, 2,803.41 and 1,047.60 is: 1,570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.52 : 2,803.41 = 1,047.60 : x
  2. Step 2: Convert to fraction form
    1,870.52/2,803.41 = 1,047.60/x
  3. Step 3: Cross multiply
    1,870.52x = 2,803.41 × 1,047.60
  4. Step 4: Simplify right side
    1,870.52x = 2,936,852.32
  5. Step 5: Solve for x
    x = 2,936,852.32/1,870.52
  6. Step 6: Final answer
    x = 1,570.08

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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.