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Finding the Fourth Proportional to 1,870.64, 2,804.16 and 1,048.08

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Solution

The fourth proportional to 1,870.64, 2,804.16 and 1,048.08 is: 1,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.64 : 2,804.16 = 1,048.08 : x
  2. Step 2: Convert to fraction form
    1,870.64/2,804.16 = 1,048.08/x
  3. Step 3: Cross multiply
    1,870.64x = 2,804.16 × 1,048.08
  4. Step 4: Simplify right side
    1,870.64x = 2,938,984.01
  5. Step 5: Solve for x
    x = 2,938,984.01/1,870.64
  6. Step 6: Final answer
    x = 1,571.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.