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Finding the Fourth Proportional to 1,830.55, 2,525 and 1,122.01

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Solution

The fourth proportional to 1,830.55, 2,525 and 1,122.01 is: 1,547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.55 : 2,525 = 1,122.01 : x
  2. Step 2: Convert to fraction form
    1,830.55/2,525 = 1,122.01/x
  3. Step 3: Cross multiply
    1,830.55x = 2,525 × 1,122.01
  4. Step 4: Simplify right side
    1,830.55x = 2,833,075.25
  5. Step 5: Solve for x
    x = 2,833,075.25/1,830.55
  6. Step 6: Final answer
    x = 1,547.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.